Geometry Calculators

Calculate the Euclidean distance between two points in 3D space. Enter both sets of x, y, z coordinates to get the distance, midpoint, displacement vector and direction angles, with step-by-step formulas and a 3D diagram.

Plot interactive 3D surfaces z = f(x, y) with mouse rotation, zoom and pan. Adjust the x/y domain, mesh resolution, colour map, wireframe and lighting to explore saddle points, ripples, paraboloids and the sinc surface.

Calculate the angle bisectors of a triangle. Enter three sides or three vertex coordinates to find bisector lengths, division points on opposite sides, incenter, inradius, and see an interactive diagram with step-by-step formulas.

Calculate arc length, radius, or central angle of a circle sector with interactive diagram, step-by-step solution, and support for degrees and radians.

Convert Cartesian coordinates (x, y) to polar coordinates (r, θ) with adjustable precision from 1 to 1000 decimal places. Features step-by-step solutions, interactive coordinate plane visualization, quadrant analysis, and verification.

Calculate radius, diameter, circumference, and area of a circle from any single value. Includes arc length, sector area, chord length, and segment area calculations with step-by-step solutions and interactive diagram.

Calculate the circumscribed circle (circumcircle) of a triangle. Enter three sides or three vertex coordinates to find the circumradius, circumcenter, area, angles, and see an interactive diagram with step-by-step formulas.

Generate the 2D flat pattern of a cone or truncated cone. Calculates the outer radius, inner radius and sweep angle you need to cut the unrolled template from sheet metal, cardboard or paper for DIY, HVAC ductwork and crafting.

Identify the conic section type (circle, ellipse, parabola, or hyperbola) from the general second-degree equation Ax² + Bxy + Cy² + Dx + Ey + F = 0. Get step-by-step classification, key properties, standard form, and an interactive graph.

Calculate the distance, midpoint, slope, line equation, perpendicular bisector, and angle of inclination between two points on a coordinate plane. Enter coordinates to get step-by-step solutions with an interactive diagram.

Build a Delaunay triangulation from any set of 2D points and watch it form, coloured by triangle quality. See the empty-circle property, overlay the Voronoi dual, and read the worst-angle and skinny-triangle statistics.

Calculate the Euclidean distance between two points in a 2D coordinate plane with step-by-step formulas, interactive visualization, midpoint, slope, and line equation calculations.

Calculate the circumference (perimeter) of an ellipse using multiple approximation formulas including Ramanujan, exact series, and visualize results with an interactive SVG diagram.

Find the equation of a line from two points, a point and slope, or slope and y-intercept. Get slope-intercept, point-slope, and standard form with interactive graph, step-by-step solution, and line properties.

Calculate the Euler characteristic (χ = V − E + F) from vertices, edges, and faces. Identify topological structure, genus, and surface type with step-by-step solutions, interactive 3D visualization, and Platonic solid comparisons.

Calculate the volume, lateral surface area, total surface area, and slant height of a frustum (truncated cone). Enter the top radius, bottom radius, and height to get instant results with step-by-step formulas and an interactive 3D diagram.

The ultimate tool to solve any triangle. Input three known values (e.g., SSS, SAS, ASA, AAS) and automatically calculate all missing sides, angles, area, and perimeter using the law of sines, law of cosines, and Heron's formula.

Calculate golden rectangle dimensions from any side length. Visualize the golden ratio (φ ≈ 1.618) with interactive diagrams showing interior and outer rectangles, plus step-by-step formulas.

Calculate the missing values to complete the golden section. Enter any value (a+b, a, or b) to find the golden ratio proportions with step-by-step explanation and visual diagram.

Calculate the shortest distance between two points on a sphere with the Haversine formula. Enter latitude and longitude to get the distance in kilometres, miles and nautical miles, plus initial and final bearing and the midpoint.

Calculate the area of a triangle from its three sides with Heron's formula. Get the semi-perimeter, area, perimeter, inradius, circumradius, all three altitudes, interior angles and triangle type, with an interactive diagram.

Calculate the center, vertices, foci, asymptotes, eccentricity, and equations of any hyperbola. Supports standard form and general form with interactive graph and step-by-step solutions.

Calculate the hypotenuse of a right triangle using the Pythagorean theorem. Get instant results with visual diagrams, step-by-step solutions, angles, area, and perimeter.

Calculate the incircle of a triangle. Enter three sides or three vertex coordinates to find the inradius, incenter, tangent points, tangent lengths and contact triangle, with an interactive diagram and step-by-step formulas.

Calculate the area of any irregular polygon by entering vertex coordinates or drawing on an interactive canvas. Uses the Shoelace formula with step-by-step calculation, perimeter, centroid, and a visual diagram.

Calculate the midpoint between two points instantly with interactive visualization, step-by-step solution, distance calculation, and comprehensive geometry analysis.

Find the vertex, focus, directrix, axis of symmetry and latus rectum of any parabola. Supports standard form, vertex form and general conic form, with an interactive graph and step-by-step solutions for each property.

Find equations of parallel and perpendicular lines passing through a given point. Enter a line equation and a point to get both parallel and perpendicular line equations with interactive graph, step-by-step solution, and line properties.

Graph parametric equations x(t) and y(t) interactively. Features animated curve tracing, speed-based colouring, the osculating circle, tangent vectors, arc length, and presets for Lissajous, heart, rose, butterfly and spirograph curves.

Calculate the shortest perpendicular distance from a point (x₀, y₀, z₀) to a plane Ax + By + Cz + D = 0. Get step-by-step solution, foot of perpendicular, interactive 3D visualization, and geometric analysis.

Find the equation of a line using point-slope form. Enter a point and slope or two points to get point-slope, slope-intercept, and standard form equations with an interactive graph and step-by-step solution.

Convert polar coordinates (r, θ) to Cartesian coordinates (x, y) with up to 1000 decimal places precision. Features interactive visualization, step-by-step solutions, quadrant detection, and verification.

Calculate the number of diagonals in an n-sided polygon, find the sum of interior angles, each interior angle of a regular polygon, and visualize the polygon with all its diagonals drawn.

Calculate the missing side of any right triangle using a² + b² = c². Get step-by-step solutions, interactive triangle visualization, area, perimeter, and angle calculations.

Calculate rectangle area, perimeter, diagonal, inscribed circle, circumscribed circle, and aspect ratio from any two known values. Includes interactive SVG diagram and step-by-step solutions.

Calculate the area, perimeter, apothem, circumradius, interior and exterior angles and number of diagonals of any regular polygon. Enter the number of sides and side length for results with step-by-step formulas and a diagram.

Calculate the area of any polygon from its (x, y) vertex coordinates using the Shoelace (Gauss) algorithm. Supports triangles, quadrilaterals, and complex polygons. Ideal for surveying, GIS, land measurement, and geometry problems.

Calculate slope, gradient, angle, and line equation from two coordinate points. Features interactive graph visualization, step-by-step solutions, and multiple output formats.

Calculate slope intercept form (y=mx+b) from two points, point and slope, or standard form. Get step-by-step solution with interactive graph visualization.

Find the standard and general equation of a sphere given center coordinates and radius, or two endpoints of a diameter. Includes step-by-step derivation, 3D visualization, and geometric properties.

Calculate all properties of a square instantly. Enter side length, area, perimeter, or diagonal to find all other measurements with step-by-step formulas and interactive visualization.

Find the tangent line equations from an external point to a circle. Enter the circle equation and a point to get tangent lines, tangent length, contact points, tangent angle, and an interactive diagram with step-by-step solution.

Calculate the volume, surface area, and geometric properties of a torus (donut shape). Enter the major radius (R) and minor radius (r) to get instant results with step-by-step formulas and an interactive 3D cross-section diagram.

Calculate the centroid (center of mass) of any triangle given its three vertex coordinates. Get step-by-step solution, triangle properties, and an interactive visual diagram with medians.

Calculate the orthocenter (intersection of the three altitudes) of any triangle given its three vertex coordinates. Get step-by-step solution, altitude equations, triangle classification, and an interactive visual diagram.