Triangle, circle, polygon, 3D shape, area, perimeter, and volume calculators. Browse our free geometry tools below — all calculators are instant, accurate, and require no sign-up.
Acute Triangle Calculator — Verify and solve acute triangles from 3 sides. Check that all angles are under 90°, compute all properties including circumcenter inside the triangle, and compare with right and obtuse triangles.
Angle Between Vectors Calculator — Calculate the angle between two 2D or 3D vectors using the dot product formula. Includes magnitudes, dot product, cross product, projection, parallel/perpendicular detection, and visual gauge.
Area of a Circle Calculator — Calculate area, circumference, radius, and diameter of a circle. Supports solving from radius, diameter, circumference, or area with unit selection, presets for common objects, sector/arc calculati...
Area of a Trapezoid Calculator — Calculate area, perimeter, diagonals, angles, and median of a trapezoid. Supports general, isosceles, and right trapezoid types with unit selection, presets, side proportion visualization, and a re...
Hemisphere Surface Area & Volume Calculator — Calculate total surface area, curved surface area, base area, and volume of a hemisphere. Includes full sphere comparison bars, unit selection, presets for bowls and domes, and a reference table.
Sphere Surface Area & Volume Calculator — Calculate surface area, volume, circumference, and great circle area of a sphere. Solve from radius, diameter, surface area, or volume with unit selection, presets for common balls, hemisphere brea...
Area of a Quadrilateral Calculator — Calculate area, perimeter, diagonals, and angles for any quadrilateral type — rectangle, square, parallelogram, rhombus, kite, or general. Includes type selector, presets, comparison visualization,...
Center of Ellipse Calculator — From General or Standard Form — Find the center of an ellipse from the general equation Ax²+Bxy+Cy²+Dx+Ey+F=0 or standard form parameters. Computes center, semi-axes, eccentricity, foci, area, and circumference.
Circle Perimeter (Circumference) Calculator — Calculate the perimeter (circumference) of a circle from radius, diameter, or area. Also find arc length, sector perimeter, chord length, and area with unit conversions.
Circle Theorems Calculator & Explorer — Explore and compute results for major circle theorems: inscribed angle, central angle, tangent-chord, secant-secant, tangent-tangent, power of a point, and Thales' theorem.
Circumcenter of a Triangle Calculator — Find the circumcenter, circumradius, centroid, incenter, orthocenter, perpendicular bisector equations, area, and perimeter of a triangle from 3 vertex coordinates.
Circumference Calculator — Radius, Diameter & Arc Length — Calculate the circumference of a circle from radius or diameter. Also computes area, arc length for a given angle, and sector area. Includes unit selector, common-circle presets, and reference table.
Circumference to Diameter Calculator — Convert circumference to diameter and vice versa. Also shows radius, area, C/d ratio (π), π approximation comparisons, real-world object table, and history of π.
Circumference & Area of a Circle Calculator — Bidirectional calculator: enter circumference to find area, area to find circumference, or enter radius/diameter to get both. Unit conversions, real-world presets, and formula reference.
Circumscribed Circle Calculator — Calculate the circumscribed circle (circumcircle) of a triangle or regular polygon. Find the circumradius, circle area, area ratios, and perimeter comparisons instantly.
Classifying Triangles Calculator — Classify any triangle by sides (equilateral, isosceles, scalene) and by angles (acute, right, obtuse). Enter 3 sides or 3 angles to see full properties and classification.
Completing the Square Calculator — Complete the square for any quadratic ax²+bx+c. Get vertex form, vertex coordinates, axis of symmetry, discriminant, roots, and step-by-step solution.
Completing the Square Practice — Practice completing the square with generated problems. Enter your answer for h and k, check if correct, and get step-by-step solutions with multiple difficulty levels.
Cone Surface Area Calculator — Calculate the total and lateral surface area of a cone, with breakdown ratios, unrolled sector angle, and real-world presets for common conical objects.
Why Completing the Square Works — Understand WHY completing the square works through geometric area interpretation. See algebraic steps alongside visual area models, comparison bars, and step breakdowns.
Congruent Triangles Calculator — Enter the sides and angles of two triangles to check congruence. Tests SSS, SAS, ASA, AAS, and HL criteria, identifies which criterion matched, solves missing values, and compares areas.
Cone Volume Calculator — Calculate the volume, surface area, lateral area, and slant height of a cone. Supports multiple solve modes, unit conversion, and real-world presets.
Law of Cosines Triangle Solver — SAS & SSS Calculator — Solve any triangle using the Law of Cosines. Enter two sides and the included angle (SAS) or three sides (SSS) to find all angles, area, perimeter, and more.
Crescent (Lune) Area Calculator — Calculate the area of a crescent or lune formed by two overlapping circles. Enter radii and distance between centers to find crescent area, overlap area, and union area.
Cross-Section Area Calculator — 3D Solid Slicing Tool — Calculate the cross-sectional area, shape, and perimeter when slicing 3D solids (sphere, cylinder, cone, cube, rectangular prism, ellipsoid) at any height or angle.
Cross-Sectional Area Calculator — Calculate cross-sectional area, perimeter, moment of inertia, and section modulus for circles, rectangles, triangles, pipes, ellipses, and I-beams.
Cube Calculator — Calculate all properties of a cube: surface area, volume, face diagonal, space diagonal, inscribed and circumscribed sphere radii from side length, diagonal, surface area, or volume.
Cube Surface Area Calculator — Calculate total and lateral surface area of a cube from side length, volume, face diagonal, or space diagonal. Includes formula reference and comparison table.
Cube Calculator — Volume, Surface Area & Diagonals — Calculate all properties of a cube from its edge length: volume, surface area, face diagonal, space diagonal, circumscribed and inscribed sphere radii. Reverse-solve from volume, surface area, or d...
Cube Volume, Area & Diagonal Calculator — Calculate cube volume, surface area, face diagonal, space diagonal, inscribed and circumscribed sphere properties from side length. Includes scaling table and dimension comparison.
Cubic Inches of a Cylinder Calculator — Calculate the volume of a cylinder in cubic inches. Enter radius or diameter and height in inches, feet, cm, or meters. See in³, ft³, gallons, liters, and surface area.
Cubic Feet of a Cylinder Calculator — Calculate the volume of a cylinder in cubic feet. Enter radius or diameter and height in inches, feet, cm, or meters. Instantly see volume in ft³, gallons, and liters plus surface area breakdown.
Cubic Yards of a Cylinder Calculator — Calculate cylinder volume in cubic yards. Enter radius or diameter and height in inches, feet, yards, cm, or meters. See yd³, ft³, gallons, and material weight estimates for concrete and gravel.
Cuboid (Rectangular Box) Calculator — Calculate the volume, surface area, face diagonals, space diagonal, and all face areas of a cuboid (rectangular prism). Cube detection, unit selector, and real-world presets.
Cuboid Volume Calculator — Calculate the volume of a cuboid (rectangular box) from length, width, and height. Instantly convert to cm³, m³, in³, ft³, liters, and gallons. See surface area, diagonals, and face breakdowns.
Cuboid Surface Area Calculator — Calculate the surface area of a cuboid (rectangular box) from length, width, and height. See total area, each face pair, lateral area, volume, and all diagonals with visual breakdowns.
Cylinder Circumference Calculator — Calculate the circumference of a cylinder from its radius or diameter. Also find volume, surface area, lateral area, and base area with unit conversions.
Cylinder Diameter Calculator — Find the diameter of a cylinder from its circumference, radius, volume + height, or surface area + height. Displays all cylinder properties with unit conversions.
Cylinder Volume Calculator — Calculate the volume, surface area, and capacity of a cylinder. Includes fill level, liter/gallon conversion, diameter mode, and presets for common cylinders.
Cylinder Volume in Gallons Calculator — Calculate the volume of a cylinder in US gallons, imperial gallons, liters, and cubic feet. Enter radius or diameter and height in any unit with adjustable fill level.
Cylinder Volume in Liters Calculator — Calculate the volume of a cylinder in liters, milliliters, gallons, and cubic units. Enter radius or diameter with height in any measurement unit.
Decagon Area & Properties Calculator — Calculate the area, perimeter, apothem, circumradius, inradius, angles, and diagonals of a regular decagon from side length, circumradius, or apothem.
Diagonal of a Rectangle Calculator — Calculate the diagonal of a rectangle from its length and width using the Pythagorean theorem. Also find area, perimeter, diagonal angle, and aspect ratio.
Diagonalize Matrix Calculator — Diagonalize a 2×2 or 3×3 matrix online. Find eigenvalues, eigenvectors, matrices P and D where A = PDP⁻¹, determinant, trace, and characteristic polynomial with step-by-step results.
Diameter of a Cone Calculator — Calculate the diameter of a cone from radius, slant height and height, volume and height, or lateral area and slant height. Also shows volume, lateral area, total surface area, and slant height.
Dimensions of a Rectangle Calculator — Find rectangle dimensions from area and perimeter, area and one side, perimeter and one side, or diagonal and one side. Shows length, width, area, perimeter, diagonal, and aspect ratio.
Ellipse Calculator — Area, Circumference, Eccentricity & Foci — Calculate all properties of an ellipse from semi-major and semi-minor axes. Includes area, circumference (Ramanujan), eccentricity, foci distance, directrix, latus rectum, and flattening.
Regular Dodecagon Area & Properties Calculator — Calculate the area, perimeter, apothem, circumradius, interior/exterior angles, and number of diagonals of a regular 12-sided polygon (dodecagon) from side length, circumradius, or apothem.
Ellipse Circumference Calculator — Calculate ellipse circumference using Ramanujan I, Ramanujan II, infinite series, and RMS approximations. Compare accuracy of each method. Also shows area, eccentricity, and h parameter.
Ellipse Area Calculator — Calculate ellipse area from semi-major and semi-minor axes. Also shows circumference (Ramanujan approximation), eccentricity, foci distance, linear eccentricity, directrix, and flattening.
Ellipse Perimeter Calculator — Multiple Approximation Methods — Calculate the perimeter (circumference) of an ellipse using Ramanujan, series expansion, Padé, and naive approximations. Compare methods side-by-side with area, eccentricity, and foci.
Ellipse Standard Form Calculator — Convert Between Forms — Convert an ellipse between standard form and general form. Find center, semi-axes, eccentricity, foci, vertices, co-vertices, area, and circumference from either equation form.
Ellipsoid Volume & Surface Area Calculator — Calculate the volume, approximate surface area (Knud Thomsen), and cross-sectional areas of an ellipsoid from three semi-axes. Sphere detection, presets for egg, Earth, and rugby ball.
Exterior Angle Calculator — Triangles & Polygons — Calculate exterior angles for triangles and regular polygons. Uses the exterior angle theorem for triangles and the 360°/n formula for polygons. Shows angle sums, interior-exterior pairs, and visua...
Equilateral Triangle Calculator — Side, Area, Height & Radii — Calculate all properties of an equilateral triangle from side length, area, perimeter, or height. Includes area, height, perimeter, circumradius, inradius, and angles (always 60°).
Foci of an Ellipse Calculator — From Semi-axes or Equation — Find the foci of an ellipse from semi-axes or the general equation. Computes foci coordinates, distance between foci, eccentricity, linear eccentricity, vertices, center, and key ellipse properties.
Exterior Angles of a Triangle Calculator — Calculate exterior angles of a triangle from interior angles or side lengths. Verify the exterior angle theorem, see remote interior angle pairs, and compare all angles visually.
Frustum of a Cone Calculator (Volume & Surface Area) — Calculate the volume, lateral surface area, total surface area, and slant height of a truncated cone (frustum). Two radii + height or slant height, with real-world presets.
General Form Equation of a Circle Calculator — Convert a circle equation from general form (x²+y²+Dx+Ey+F=0) to standard form ((x−h)²+(y−k)²=r²). Find center, radius, area, circumference, and diameter with step-by-step solutions.
Generic Rectangle Calculator — Solve rectangle problems algebraically. Find missing dimensions from area, perimeter, or diagonal. Computes length, width, area, perimeter, diagonal, and aspect ratio with multiple solve modes.
General to Standard Form Circle Calculator — Convert a circle equation from general form to standard form step by step. Shows completing the square process, center, radius, area, circumference, and detailed algebraic walkthrough.
Golden Rectangle Calculator — Dimensions, Spiral & Fibonacci — Calculate the dimensions, area, perimeter, diagonal, and golden spiral decomposition of a golden rectangle. Explore the Fibonacci connection, art & architecture examples, and successive square...
Height of a Square Pyramid Calculator — Calculate the height of a square pyramid from slant height, volume, lateral area, total surface area, or lateral edge. Shows all pyramid properties including volume, surface area, and edges.
Height of a Cylinder Calculator — Calculate the height of a cylinder from volume and radius, surface area and radius, lateral area and radius, or volume and diameter. Includes step-by-step formulas, reference tables, and visual bre...
Height of a Cone Calculator — Calculate cone height from slant height, volume, lateral area, total surface area, or diameter. Shows all cone properties including volume, surface area, and half-angle with visual breakdowns.
Heptagon Area & Properties Calculator — Calculate the area, perimeter, apothem, circumradius, inradius, diagonals, and angles of a regular heptagon (7-sided polygon) from side length, area, perimeter, apothem, or circumradius.
Heron's Formula Calculator — Calculate triangle area from three side lengths using Heron's formula. See semi-perimeter, inradius, circumradius, altitudes, medians, angles, and a visual sketch.
Regular Hexagon Calculator — Area, Perimeter, Diagonals — Calculate all properties of a regular hexagon from side length, area, perimeter, apothem, or circumradius. Includes area, perimeter, apothem, diagonals, circumradius, inradius, and angles.
Hexagonal Pyramid Calculator — Calculate volume, slant height, lateral area, total surface area, base area, perimeter, and apothem of a regular hexagonal pyramid. Includes visual breakdowns, presets, and reference data.
Hexagonal Pyramid Surface Area Calculator — Calculate the total surface area, lateral surface area, and base area of a regular hexagonal pyramid from base side and slant height or base side and height. Includes SA breakdown, presets, and ref...
Inscribed Angle Calculator — Central Angle, Arc & Chord — Calculate inscribed angles, central angles, arc length, chord length, sagitta, sector area, and segment area for a circle. Includes Thales' theorem detection and a reference table.
Hollow Cylinder Volume & Surface Area Calculator — Calculate wall volume, inner volume, total surface area, wall thickness, and estimated weight of a hollow cylinder (pipe, tube, annular ring) from outer/inner radii and height.
Integration by Completing the Square Calculator — Solve integrals of the form ∫ dx/(ax² + bx + c) by completing the square. Shows the completed square form, integral type (arctan or partial fractions), step-by-step solution, and formula references.
Interior & Exterior Triangle Angles Calculator — Calculate all interior and exterior angles of a triangle from 3 sides (SSS) or 2 known angles. Verifies angle sum = 180° and exterior sum = 360°. Includes remote interior angle theorem, presets, an...
Interior Angles Calculator — Regular & Custom Polygons — Calculate interior angles, angle sums, and exterior angles of regular and custom polygons. Uses the (n−2)×180° formula. Supports polygons from 3 to 100 sides with visual breakdowns.
Irregular Polygon Area Calculator — Shoelace Formula — Calculate the area, perimeter, centroid, and bounding box of any irregular polygon using the shoelace formula. Enter up to 10 vertex coordinates and see step-by-step cross products.
Is It a Right Triangle? Calculator — Enter three side lengths to check whether they form a right triangle using the Pythagorean theorem. See all angles, deviation from 90°, area, perimeter, and a table of Pythagorean triples.
Irregular Trapezoid Area Calculator — Calculate the area, perimeter, diagonals, and angles of an irregular trapezoid from two parallel sides and two legs or height. Includes visual comparison bars, presets, and a reference table.
Isosceles Right Triangle Hypotenuse Calculator — Find the hypotenuse of an isosceles right triangle from its leg, or find the leg from the hypotenuse. Includes step-by-step solution, all triangle properties, visual bars, and a reference table.
Isosceles Right Triangle Calculator (45-45-90) — Calculate all properties of a 45-45-90 isosceles right triangle from a leg or hypotenuse. Find area, perimeter, inradius, circumradius, and height to hypotenuse with presets and reference table.
Isosceles Trapezoid Calculator — Calculate the area, perimeter, diagonals, angles, height, and median of an isosceles trapezoid from two parallel sides and a leg or height. Includes visual bars, presets, and a formula reference ta...
Isosceles Trapezoid Area Calculator — Calculate the area, perimeter, diagonals, height, median, and angles of an isosceles trapezoid from its parallel sides and leg or height.
Isosceles Triangle Calculator — Sides, Angles & Area — Complete isosceles triangle solver. Enter base + leg, base + height, or leg + apex angle to compute all sides, angles, area, perimeter, altitudes, circumradius, and inradius.
Isosceles Triangle Side a Calculator — Find the equal side (a) of an isosceles triangle given the base with height, area, perimeter, or apex angle. Shows all triangle properties.
Isosceles Triangle Height Calculator — Calculate the height of an isosceles triangle from the equal sides and base, or from the equal side and apex angle. Shows area, perimeter, angles, inradius, and circumradius.
Isosceles Triangle Angles Calculator — Calculate the apex angle and base angles of an isosceles triangle from the equal sides and base. Verifies the angle sum equals 180° and shows area, perimeter, height.
Isosceles Triangle Equal Side Calculator — Find the equal side of an isosceles triangle from the base plus height, area, perimeter, apex angle, or base angle. Computes all triangle properties.
Kite Area & Properties Calculator — Calculate the area, perimeter, angles, inradius, and diagonals of a kite from diagonals or from sides and angle. Includes presets, visual breakdown, and reference table.
Lateral Surface Area Calculator — Calculate the lateral (side) surface area of cylinders, cones, prisms, pyramids, and frustums. Compare lateral vs base area with visual breakdown bars and a formula reference table.
Lateral Area of a Cone Calculator — Calculate the lateral (curved) surface area of a cone from its radius and height or slant height. Includes total surface area, volume, half-angle, SA breakdown, and reference table.
Lateral Area of a Trapezoidal Prism Calculator — Calculate the lateral surface area of a trapezoidal prism from the four sides of the trapezoid base and prism length. Includes total surface area, volume, individual face areas, breakdown bars, and...
Lateral Surface Area of a Cylinder Calculator — Calculate the lateral (curved) surface area of a cylinder from radius and height. Also shows total surface area, volume, diameter, circumference, space diagonal, SA breakdown, and reference table.
Least Squares Regression Calculator — Compute the best-fit line using least squares regression. Enter up to 10 data points to get slope, intercept, R², correlation coefficient, standard error, residuals table, and predictions.
Length and Width of Rectangle Given Perimeter Calculator — Find the length and width of a rectangle when you know the perimeter and one additional property: area, diagonal, or length-to-width ratio. Shows all rectangle properties, dimension bars, and a ref...
Length of a Rectangle Calculator — Calculate the length of a rectangle from area and width, perimeter and width, or diagonal and width. Get all rectangle properties instantly.
Rectangle Length, Width & Area Calculator — Comprehensive rectangle solver — enter any two of length, width, area, perimeter, or diagonal and calculate all remaining properties instantly.
Magic Square Calculator — Generate magic squares of order 3, 4, or 5. View the magic constant, sum verification, color-coded grid, and mathematical properties.
Midsegment of a Triangle Calculator — Calculate all three midsegments of a triangle from vertex coordinates or side lengths. Compare the medial triangle to the original with areas, perimeters, and visual bars.
Missing Side of a Right Triangle Calculator — Find the missing side of a right triangle using the Pythagorean theorem. Enter any two sides, get the third plus area, angles, perimeter, inradius, and more.
Nonagon Area & Properties Calculator — Calculate the area, perimeter, apothem, circumradius, inradius, diagonals, and angles of a regular nonagon (9-sided polygon) from side length, area, perimeter, apothem, or circumradius.
Obtuse Triangle Calculator — Solve obtuse triangles from 3 sides or 2 sides + angle. Detect the obtuse angle, classify, find all properties including altitude through the obtuse vertex, and compare with a right triangle.
Orthocenter Calculator — Find the orthocenter of a triangle from three vertex coordinates. Compare orthocenter, centroid, circumcenter, and incenter positions with area and Euler line analysis.
Parallelogram Area & Properties Calculator — Calculate the area, perimeter, diagonals, and angles of a parallelogram from base + height or two sides + included angle. Detects rectangles, rhombuses, and squares.
Parallelogram Perimeter Calculator — Calculate the perimeter of a parallelogram from side lengths, diagonals and angle, or area and height. Find area, diagonals, heights, and angles with visual comparison.
Pascal's Triangle Calculator — Generate Pascal's triangle up to 15 rows. View binomial coefficients, row sums, highlight patterns, search for values, and explore mathematical properties.
Perfect Square Calculator — Check if a number is a perfect square, find square roots, nearest perfect squares, prime factorization, and sum-of-squares decomposition. Reference table of squares 1–25.
Perfect Cube Calculator — Check if a number is a perfect cube. Find cube roots, nearest perfect cubes, prime factorization, and explore cubes in any range with a reference table of cubes 1–20.
Perfect Square Trinomial Calculator — Check if a quadratic expression ax² + bx + c is a perfect square trinomial. Get factored form, discriminant, vertex, roots, and step-by-step verification.
Perimeter of a Rectangle with Given Area Calculator — Calculate the perimeter of a rectangle when you know the area and one dimension or aspect ratio. Find length, width, diagonal, and compare to the minimum perimeter (square).
Perimeter of a Right Triangle Calculator — Calculate the perimeter of a right triangle from any two sides. Find all three sides, area, angles, inradius, circumradius, and altitude. Includes Pythagorean triples table.
Perimeter of a Sector Calculator — Calculate the perimeter of a circular sector from the radius and central angle. Find arc length, sector area, chord length, and segment area with visual breakdowns.
Perimeter of a Triangle with Fractions Calculator — Calculate the perimeter of a triangle when side lengths are fractions. Get the result as a simplified fraction and decimal, plus LCD computation, area, and angles.
Perimeter of Rectangle Calculator — Calculate the perimeter of a rectangle from length and width, from area and one side, or from diagonal and one side. Also find area, diagonal, and aspect ratio.
Perimeter of a Triangle with Vertices Calculator — Calculate the perimeter of a triangle from three vertex coordinates. Find side lengths, area, centroid, angles, and triangle classification using the distance and Shoelace formulas.
Perimeter of a Quadrilateral Calculator — Calculate the perimeter of any quadrilateral from four side lengths or vertex coordinates. Detect shape type, compute diagonals and area, and compare side lengths visually.
Polygon Angle Calculator — Calculate interior, exterior, and central angles of any regular polygon. Also find the sum of interior angles, number of diagonals, area, apothem, and circumradius.
Polygon Diagonals Calculator — Count, Angles & Area — Calculate the number of diagonals in any polygon using n(n−3)/2. Also computes interior angle, exterior angle, and area of regular polygons. Includes a comparison table for 3–20 sides.
Prism Volume & Surface Area Calculator — Calculate volume, base area, lateral surface area, and total surface area of prisms with triangular, rectangular, pentagonal, hexagonal, or trapezoidal bases.
Pyramid Angle Calculator — Calculate face angle, dihedral angle, lateral edge angle, and apex angle of a regular pyramid. Supports square, triangular, pentagonal, and hexagonal bases. Also find volume and surface area.
Pythagorean Theorem Calculator — Calculate the missing side of a right triangle using the Pythagorean theorem (a² + b² = c²). Find hypotenuse, legs, area, perimeter, angles, inradius, and circumradius instantly.
Pyramid Volume & Surface Area Calculator — Calculate the volume, lateral area, total surface area, and slant height of square, rectangular, and triangular pyramids. Includes famous pyramid presets and a reference table.
Quarter Circle Calculator — Calculate the area, perimeter, arc length, centroid, and moment of inertia of a quarter circle (quadrant). Enter radius or diameter for instant results.
Quadrilateral Calculator — Calculate the area, perimeter, angles, and diagonal of any quadrilateral. Enter four sides and one diagonal to compute properties and classify the shape.
Quarter Circle Area Calculator — Calculate the area of a quarter circle from its radius, diameter, full circle area, or arc length. Compare quarter, half, and full circle areas side by side.
Quarter Circle Perimeter Calculator — Calculate the perimeter of a quarter circle from its radius, diameter, arc length, or area. See the breakdown of curved arc vs straight edges with visual bars.
Radius of a Cone Calculator — Calculate the radius of a cone from volume & height, surface area & slant height, lateral area, base area, or circumference. Shows all cone properties with visual breakdowns.
Radius of a Circle Calculator — Calculate the radius of a circle from the diameter, circumference, area, arc length, or sector area. Instant results with all circle properties, visual bars, and a reference table.
Radius of a Cylinder Calculator — Calculate the radius of a cylinder from volume & height, surface area & height, lateral area & height, circumference, or base area. All cylinder properties shown with visual breakdowns.
Radius of a Sphere Calculator — Calculate the radius of a sphere from diameter, circumference, surface area, volume, or spherical cap area. Shows all sphere properties with visual comparisons and a reference table.
Rectangle Calculator — Area, Perimeter, Diagonal & More — Calculate all rectangle properties from length and width: area, perimeter, diagonal, aspect ratio, circumradius, and golden rectangle check. Presets for screens, paper sizes, sports fields.
Rectangle Diagonal Angle Calculator — Calculate the angle a rectangle's diagonal makes with its sides. Enter length and width to get diagonal angles, diagonal length, area, perimeter, and aspect ratio with visual bars.
Rectangle Scale Factor Calculator — Find the scale factor between two rectangles. Calculate area ratio (k²), perimeter ratio, similarity check, and dimensional comparisons with visual bars and reference data.
Rectangular Prism Calculator — Volume, Surface Area & Diagonals — Calculate volume, surface area (total and lateral), face diagonals, and space diagonal of a rectangular prism (cuboid). Includes presets for common boxes, rooms, and shipping containers.
Rectangular Prism Volume Calculator — Calculate the volume, surface area, face areas, face diagonals, space diagonal, and lateral area of a rectangular prism (box). Includes unit selector, presets, and reference table.
Rectangular Pyramid Volume Calculator — Calculate the volume, surface area, slant heights, lateral edge, and face areas of a rectangular pyramid. Includes unit selector, presets, and famous pyramids reference.
Regular Polygon Calculator — Any N-gon (3–20 Sides) — Calculate area, perimeter, apothem, circumradius, inradius, interior angle, exterior angle, and diagonals for any regular polygon from 3 to 20 sides. Comparison table of all shapes included.
Regular Polygon Area Calculator — Calculate the area of any regular polygon from the number of sides and side length, apothem, or circumradius. Also shows perimeter, interior angle, diagonal count, and comparison table.
Regular Polygon Perimeter Calculator — Calculate the perimeter of any regular polygon from side length, area, apothem, or circumradius. Also computes area, interior angle, diagonals, and more with visual comparisons.
Right Circular Cone Calculator — Calculate volume, slant height, lateral surface area, total surface area, base area, half-angle, and base circumference of a right circular cone.
Right Cylinder Calculator — Calculate volume, lateral surface area, total surface area, base area, diameter, and base circumference of a right circular cylinder.
Right Rectangular Pyramid Calculator — Calculate volume, two slant heights, lateral surface area, total surface area, base area, and lateral edge length of a right rectangular pyramid.
Right Trapezoid Calculator — Calculate area, perimeter, diagonals, angles, and oblique leg length of a right trapezoid with one pair of right angles.
Right Square Pyramid Calculator — Calculate volume, slant height, lateral surface area, total surface area, base area, lateral edge, and dihedral angle of a right square pyramid.
Right Trapezoid Area Calculator — Sides, Height, Angles & Diagonals — Calculate the area, perimeter, slant side, diagonals, all four angles, and midsegment of a right trapezoid from two parallel sides and the height. Includes presets, visual bars, and a reference table.
Right Triangle Calculator — Solve any right triangle from two known values — legs, hypotenuse, or angles. Computes all sides, angles, area, perimeter, inradius, circumradius, and altitude. Includes Pythagorean triple presets.
Right Triangle Side & Angle Calculator — Find Missing Values — Find any missing side or angle of a right triangle. Enter two sides or one side and one acute angle. Shows all trig ratios for both acute angles, area, perimeter, inradius, and circumradius.
Right Triangle Calculator — Solve Sides, Angles, Area & More — Solve any right triangle from 2 known values. Enter two sides or one side + one acute angle to compute all sides, both angles, area, perimeter, altitude to hypotenuse, inradius, circumradius, and P...
2D Rotation Calculator — Rotate Points, Matrix & Common Rotations — Rotate a 2D point by any angle about any center. See the rotation matrix, new coordinates, displacement, and a table of common rotations (90°, 180°, 270°). Presets and rotation rules included.
Scale Factor Calculator — Linear, Area & Volume Scaling — Calculate scale factor from original and scaled dimensions, or apply a scale factor to find new dimensions. Area (k²) and volume (k³) scaling, map and model presets, 2D scaling, and common scales r...
Scalene Triangle Calculator — General Triangle Solver — Solve any triangle using 3 sides or 2 sides + included angle. Computes all angles, area, perimeter, altitudes, medians, circumradius, inradius, and classifies by angles and sides.
Sector & Segment Calculator — Area, Arc Length, Chord — Calculate sector area, arc length, chord length, and segment area from radius and central angle. Supports degrees and radians with presets for pizza slices, clocks, and pie charts.
Segment Addition Postulate Calculator — Verify or solve for missing segment lengths using the segment addition postulate AB + BC = AC. Supports multiple collinear points with distance tables and visual number lines.
Circular Segment Area Calculator — Calculate the area of a circular segment from radius and central angle. Includes chord length, arc length, sagitta, sector area, and minor/major segment toggle.
Semicircle Area & Perimeter Calculator — Calculate the area, perimeter, arc length, radius, diameter, and centroid of a semicircle. Solve from radius, diameter, area, or perimeter with unit conversion and presets.
Law of Sines Triangle Solver — Solve any triangle using the Law of Sines. Enter two angles and one side or two sides and one angle to find all missing values, with ambiguous-case detection.
Similar Triangles Calculator — Enter the three sides of triangle A and one side of triangle B to find all missing sides, the scale factor, area ratio, and perimeter ratio between similar triangles.
Slant Height Calculator — Cone, Pyramid & Frustum — Calculate the slant height, lateral surface area, total surface area, and volume of cones, pyramids (square, triangular, hexagonal), and frustums from base dimensions and vertical height.
Slant Height of a Cone Calculator — Calculate the slant height of a cone from radius and height, lateral surface area, or total surface area. View all cone properties including volume, surface areas, and apex angle.
Solid Geometry Calculator — 3D Shapes — Calculate volume, surface area, and diagonal of 8 common 3D shapes: sphere, cube, cylinder, cone, rectangular prism, triangular prism, pyramid, and torus. Compare shapes side by side.
Similar Triangles Solver — Solve similar triangles by entering known sides to find missing lengths, scale factor, area ratio, perimeter ratio, and all triangle properties.
Completing the Square Calculator — Solve quadratic equations by completing the square. Enter coefficients a, b, c and see the step-by-step solution, vertex form, discriminant, roots, and graph properties.
Sphere Calculator — Calculate all properties of a sphere: radius, diameter, volume, surface area, great circle area, and great circle circumference from any single known value.
Equation of a Sphere Calculator — Convert between standard and general forms of a sphere equation. Enter center and radius or general-form coefficients to get both equations, center, radius, volume, and surface area.
Sphere Volume & Surface Area Calculator — Calculate the volume and surface area of a sphere. Solve from radius, diameter, circumference, surface area, or volume. Includes presets for common spheres like basketballs and Earth.
Square Area & Properties Calculator — Calculate the area, perimeter, diagonal, circumradius, and inradius of a square from side length, diagonal, perimeter, or area. Compare with rectangles.
Square Calculator — Calculate all properties of a square: side, diagonal, perimeter, area, inradius, and circumradius from any single known value.
Square Diagonal Calculator — Calculate the diagonal of a square from side length, area, perimeter, or circumradius. Also shows side, area, perimeter, and the diagonal-to-side ratio.
Square Feet of a Rectangle Calculator — Calculate the area of a rectangle in square feet from length and width in inches, feet, yards, centimeters, or meters. Also converts to sq in, sq yd, sq m, and acres.
Square Feet of a Triangle Calculator — Calculate the area of a triangle in square feet. Enter base and height, three sides (Heron's formula), or two sides with an included angle. Converts between sq ft, sq in, sq yd, sq m, and acres.
Square Footage Calculator — Calculate square footage from length and width in any unit. Convert between sq ft, sq m, sq yd, and acres. Includes cost estimator, room presets, and a common sizes reference table.
Square in a Circle Calculator — Calculate properties of a square inscribed in a circle. Find diagonal, side length, areas of both shapes, area ratio (2/π), and wasted space from radius, side, or diagonal.
Square Footage of a Circle Calculator — Calculate the square footage of a circle from radius, diameter, or circumference. Converts area to sq ft, sq in, sq yd, sq m, and acres instantly.
Square Inches of a Circle Calculator — Calculate the area of a circle in square inches from radius, diameter, or circumference. Instantly converts to sq ft, sq cm, and sq mm.
Square of a Binomial Calculator — Expand and evaluate (a + b)² and (a − b)² step by step. See each term, verification, term-proportion bars, algebraic identity reference, and common examples.
Square Perimeter Calculator — Calculate the perimeter of a square from its side length, area, or diagonal. Includes reference tables, visual comparisons, and multiple solving modes.
Square Pyramid Calculator — Calculate volume, surface area, slant height, lateral area, dihedral angle, and lateral edge of a square pyramid from base side and height.
SSA Triangle Calculator (Ambiguous Case) — Solve the ambiguous SSA triangle case — enter two sides and a non-included angle to find 0, 1, or 2 possible triangles. Shows all angles, sides, area, and perimeter for each solution.
Square Pyramid Volume Calculator — Calculate the volume of a square pyramid from base side and height, or find a missing dimension from volume. Multiple solving modes with reference table and visual comparison.
SSS Triangle Calculator — Solve any triangle from three sides using the Law of Cosines and Heron's formula. Computes all angles, area, perimeter, heights, medians, inradius, and circumradius.
Standard Equation of a Circle Calculator — Find the standard and general form equations of a circle from center coordinates (h, k) and radius r. Calculate area, circumference, diameter, and visualize the equation components.
Standard to General Form Circle Converter — Convert the standard form equation of a circle (x−h)²+(y−k)²=r² to general form x²+y²+Dx+Ey+F=0. View step-by-step expansion, coefficients, and circle properties.
Cone Surface Area Calculator — Calculate the lateral, base, and total surface area of a cone from radius and height or slant height. Includes apex angle, unrolled sector angle, presets, and reference table.
Cylinder Surface Area Calculator — Calculate the total, lateral, and base surface area of a cylinder from radius and height. Supports open-top cylinders, diameter input, presets for cans and tanks.
Cube Surface Area Calculator — Calculate the surface area, volume, face area, edge length, and diagonals of a cube from side, diagonal, volume, or surface area. Includes cost estimator and reference table.
Surface Area of a Rectangular Pyramid Calculator — Calculate the total and lateral surface area of a rectangular pyramid from base length, width, and pyramid height. View slant heights, base area, each triangular face area, and visual breakdown.
Surface Area of a Rectangular Prism (Cuboid) Calculator — Calculate the total and lateral surface area of a rectangular prism (cuboid) from length, width, and height. View face-pair breakdown, volume, space diagonal, and visual comparison bars.
Surface Area of a Cylinder Calculator — Calculate the total and lateral surface area of a cylinder from its radius and height. Includes volume, base area, circumference, SA breakdown bars, wall-thickness mode, and a reference table of co...
Surface Area of a Triangular Prism Calculator — Calculate the total and lateral surface area of a triangular prism from triangle side lengths and prism height. View each face area, volume, and visual breakdown bars.
Surface Area of a Pyramid Calculator — Calculate the total surface area, lateral surface area, slant height, volume, and face breakdown of square, rectangular, and triangular pyramids. Includes presets for real-world pyramids.
Surface Area of a Square Pyramid Calculator — Calculate the total and lateral surface area of a square pyramid from its base side length and slant height or pyramid height. Includes volume, lateral edge, SA breakdown bars, and a reference tabl...
Surface Area of a Rectangular Prism Calculator — Calculate the total and individual face surface areas, volume, space diagonal, and edge length of a rectangular prism (box). Supports open-top boxes with presets for common objects.
Sphere Surface Area Calculator — Calculate the surface area of a sphere from radius, diameter, volume, or circumference. Also get hemisphere SA, spherical cap area, and volume with reference tables.
Surface Area of a Triangular Prism Calculator — Calculate the total and lateral surface area, volume, and face-by-face breakdown of a triangular prism. Supports isosceles, equilateral, and scalene triangle cross-sections.
Surface Area to Volume Ratio Calculator — Calculate the surface-area-to-volume ratio for spheres, cubes, cylinders, and rectangular prisms. Compare shapes at equal volume to find the most efficient geometry. Includes sphericity index, comp...
Tangent Line to a Circle Calculator — Calculate the tangent line from an external point to a circle. Find tangent length, tangent points, slopes, angles between tangent lines, and the power of a point.
Tangent to a Circle Calculator — Calculate tangent line properties from an external point to a circle. Find tangent length, tangent points, angles, and power of a point. Includes ratio bars, 8 presets, and a reference table.
Tetrahedron Volume & Properties Calculator — Calculate the volume, surface area, height, circumradius, inradius, and midsphere radius of regular and irregular tetrahedra from edge lengths.
Torus Surface Area Calculator — Calculate the surface area and volume of a torus (donut shape) from its major radius R and minor radius r. Includes outer/inner diameters, circumferences, cross-section area, SA/V ratio, proportion...
Torus Calculator — Volume, Surface Area & Properties — Calculate the volume, surface area, cross-section area, tube circumference, and outer/inner diameter of a torus from its major and minor radii. Includes presets for donuts, tires, and rings.
Trapezoid Calculator — Area, Perimeter, Diagonals & Angles — Complete trapezoid calculator. Enter parallel sides, height, and optional legs for area, perimeter, midsegment, diagonals, and angles. Supports right, isosceles, and general trapezoids.
Trapezoid Midsegment Calculator — Median of a Trapezoid — Calculate the midsegment (median) of a trapezoid from two parallel sides, or from area and height. Shows midsegment visualization, area, perimeter, height, and reference table.
Trapezoid Perimeter Calculator — From Sides, Height, or Angles — Calculate the perimeter of a trapezoid from four sides, from bases and height (isosceles), from bases with angles, or from partial measurements. Visual bars, reference table, and full property brea...
Trapezoidal Prism Volume Calculator — Calculate the volume, surface area, base area, and lateral faces of a trapezoidal prism. Enter the parallel sides, trapezoid height, and prism length to get full geometric results with visual break...
30-60-90 Triangle Calculator — Calculate all sides, area, perimeter, altitudes, and radii of a 30-60-90 special right triangle. Enter any one side and get every property instantly.
45-45-90 Triangle Calculator — Calculate all sides, area, perimeter, altitudes, and radii of a 45-45-90 isosceles right triangle. Enter any one side and get every property instantly.
Triangle Altitudes Calculator — Calculate all three altitudes of a triangle from its side lengths. Find the orthocenter coordinates, classify the triangle (acute/obtuse/right), and compare altitude lengths. Includes presets and r...
Triangle Angle Calculator — Find missing angles of a triangle. Enter one or two known angles to find the rest, or enter three side lengths to compute all angles using the Law of Cosines. Includes preset triangles, category ta...
Triangle Angle Bisector Calculator — Calculate all three angle bisector lengths of a triangle from its sides. Find the incircle radius, incenter coordinates, and segment ratios using the angle bisector theorem. Includes presets and re...
Triangle Area Calculator — Calculate triangle area, perimeter, angles, altitudes, circumradius, inradius, and classification. Supports base-height, Heron's formula, and SAS methods with unit selection and a complete 15-prop...
Triangle Angles Calculator — Find All Angles from Three Sides — Calculate all three angles of a triangle from three side lengths using the law of cosines. Shows angle classification, radian conversion, sum verification, area, and full triangle properties.
Triangle Area Calculator — SAS (Two Sides & Included Angle) — Calculate the area, perimeter, all angles, altitudes, circumradius, and inradius of a triangle from two sides and the included angle (SAS method). Includes triangle classification, presets, and ref...
Triangle Calculator — SSA (Ambiguous Case) — Solve triangles from two sides and a non-included angle (SSA). Detects 0, 1, or 2 solutions. Computes area, perimeter, all angles/sides, circumradius, inradius, and altitudes for each valid triangle.
Triangle Area Calculator — Heron's Formula (SSS) — Calculate triangle area from three sides using Heron's formula. Also computes perimeter, all angles, altitudes, medians, circumradius, inradius, and classifies by angle and side type.
Circumscribed Circle (Circumcircle) Calculator — Calculate the circumscribed circle of a triangle from its sides. Find the circumradius, circumcenter coordinates, circumcircle area, Euler line distance, and area ratios. Includes presets and...
Triangle Degree Converter Calculator — Convert triangle angles between degrees, radians, and gradians. Enter any combination of angle units, verify the angle sum equals 180°, and see all three angles in every unit system with visual pro...
Triangle Congruence Calculator — Check if two triangles are congruent by entering their sides and angles. Determines which congruence criterion applies — SSS, SAS, ASA, AAS, or HL — with detailed explanations, preset pairs, and a...
Triangle Height (Altitude) Calculator — Find the height of a triangle using multiple methods: area + base, three sides (Heron), or vertex coordinates. Computes all three altitudes, area, and angles.
Triangle Inequality Checker & Classifier — Check if three side lengths form a valid triangle. See all three inequality checks, surplus/deficit, triangle classification (acute/right/obtuse, scalene/isosceles/equilateral), area, and angles.
Triangle Inscribed Circle (Incircle) Calculator — Calculate the inscribed circle (incircle) of a triangle from three sides. Find inradius, incenter coordinates, incircle area, contact triangle, and circle-to-triangle area ratio.
Triangle Side Length Calculator — Find the missing side length of a triangle using the Law of Cosines, Law of Sines, or perimeter subtraction. Multiple solving modes, preset triangles, reference table, and side proportion bars.
Triangle Perimeter Calculator — Calculate the perimeter of a triangle from three sides with automatic triangle inequality validation. Also computes area, angles, semi-perimeter, classification, radii, and altitudes.
Triangle Medians Calculator — Calculate all three medians of a triangle from its side lengths. Find the centroid coordinates, area, median lengths, and reverse-solve sides from medians. Includes presets and reference table.
Triangle Proportionality Theorem Calculator — Demonstrate the triangle proportionality theorem — a line parallel to one side of a triangle divides the other two sides proportionally. Enter triangle sides and a dividing line position to verify...
Triangle Ratio Calculator — Calculate side ratios, area ratios, and perimeter ratios between two similar triangles. Enter corresponding sides to find all proportional relationships instantly.
Triangle Side Calculator — Find a missing side of a triangle using the Law of Cosines, Law of Sines, Pythagorean Theorem, or subtract known sides from the perimeter. Select a method, enter known values, and get the unknown s...
Triangle Scale Factor Calculator — Find the scale factor between two similar triangles. Enter corresponding sides to compute the linear scale factor k, area ratio k², volume ratio k³, perimeter ratio, and verify similarity.
Triangle Sides Calculator — Find All Sides from Angles & One Side — Calculate all three sides of a triangle given three angles and one known side using the law of sines. Supports AAS, ASA, and area-based modes. Shows triangle type, perimeter, area, and altitude.
Triangle Side-Angle Calculator (Triangle Solver) — General-purpose triangle solver. Enter any valid combination of sides and angles (SSS, SAS, ASA, AAS, SSA) and compute all remaining sides, angles, area, perimeter, and more.
Triangle Similarity Calculator — Test if two triangles are similar using AA, SAS, or SSS similarity criteria. Verify corresponding side ratios, find scale factors, and identify matching angles and sides.
Triangle Slope Calculator — Calculate the slopes of all three sides of a triangle from vertex coordinates. Determine perpendicularity, parallelism, and classify the triangle by its slope properties.
Triangle Vertices Calculator — Compute comprehensive triangle properties from three vertex coordinates including sides, angles, area (shoelace formula), perimeter, centroid, incenter, circumcenter, and orthocenter.
Triangle Sum Theorem Calculator — Demonstrate that the interior angles of a triangle sum to 180°. Find the missing third angle, compute exterior angles, and explore the Exterior Angle Theorem with visual bars and reference tables.
Triangular Prism Calculator — Volume, Surface Area & More — Calculate volume, surface area (total and lateral), base area, perimeter, and edge lengths of a triangular prism. Supports any triangle base with unit conversion and presets.
Triangular Pyramid Volume Calculator — Calculate the volume and surface area of a triangular pyramid (tetrahedron). Supports regular and irregular modes with base triangle dimensions or full vertex coordinates.
Trigonometric Triangle Solver — Solve any triangle using trigonometric functions. Enter sides and angles to find all missing measurements using Law of Sines, Law of Cosines, and standard trig identities.
Truncated Cone (Frustum) Calculator — Calculate volume, lateral surface area, and total surface area of a truncated cone (frustum). Enter top radius, bottom radius, and height or slant height.
Truncated Cone Volume Calculator — Calculate the volume of a truncated cone (frustum) with multiple input methods. Convert between cubic inches, cubic feet, liters, and gallons.
Hexagonal Pyramid Volume & Surface Area Calculator — Calculate volume, lateral surface area, and total surface area of a regular or irregular hexagonal pyramid. Enter base side length, height, and apothem.
Volume of a Triangular Prism Calculator — Calculate volume and surface area of a triangular prism. Supports equilateral, right, and scalene base triangles with prism length input.
Volume of a Hemisphere Calculator — Calculate the volume and surface area of a hemisphere. Enter radius or diameter, get volume in multiple units (liters, gallons, cubic feet), curved surface area, base area, total surface area, and...
Volume of Revolution Calculator (Disk/Washer Method) — Calculate the volume of a solid of revolution using the disk or washer method with Simpson's rule numerical integration. Supports linear, quadratic, square root, sine, and custom polynomial functions.
Volume to Weight Calculator — Convert volume to weight using material density. Supports 30+ materials (water, steel, concrete, gold, wood, and more), multiple volume and weight units, and custom densities.
Width of a Rectangle Calculator — Find the width of a rectangle from area & length, perimeter & length, diagonal & length, or area & perimeter. Shows all rectangle properties including area, perimeter, diagonal, and aspect ratio wi...