Geometry Calculators

Enter both x, y, z coordinates to get Euclidean distance, the midpoint, the displacement vector, and direction angles.

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.

Enter x and y coordinates and precision up to 1000 decimals to get polar coordinates (r, θ) with quadrant analysis and step-by-step 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.

Enter A through F from your conic equation to see its type, discriminant and graph. Follow the calculation steps, including axis rotation when needed.

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.

Enter 2D points to build a Delaunay mesh coloured by triangle quality, check the empty-circle property and overlay the Voronoi dual.

Enter the coordinates of two points to get the Euclidean distance, the midpoint, the slope and the line equation, with formula steps.

Enter the semi-major and semi-minor axes to calculate the perimeter of an ellipse using Ramanujan and infinite series formulas with an SVG diagram.

Enter two points, a point and a slope, or a slope and y-intercept to get all three line forms, with a graph and the steps.

Enter vertices, edges and faces to compute V − E + F, then see the genus, the surface type and a comparison with the Platonic solids.

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.

Find golden rectangle dimensions from a side, diagonal, area or perimeter. Choose decimal precision and review diagrams and calculation steps.

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.

Enter two latitudes and longitudes to get the distance in kilometres, miles, and nautical miles, plus bearings 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.

Enter the lengths of side a and side b to calculate the hypotenuse, internal angles, perimeter, and area of a right triangle with step-by-step solutions.

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.

Input up to 100 vertex coordinates or draw on the canvas to find polygon area, perimeter, and centroid with step-by-step calculations.

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.

Enter a line equation and a point to get the parallel and perpendicular lines through that point, with a graph and steps.

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.

Enter the number of sides to get the diagonal count, the interior-angle sum, and each interior angle of a regular polygon.

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.

Enter the (x, y) coordinates of three vertices to calculate the triangle's centroid with step-by-step formulas and median diagrams.

Enter three vertex coordinates to find the orthocenter. View the worked calculation and a diagram of the altitudes, their feet, and the Euler line.