Geometry

Calculate the area, circumference and diameter of a circle from its radius.

Calculate the volume and surface area of a cylinder from its radius and height using exact formulas with π.

Calculate the area, perimeter and diagonal of a rectangle instantly from its length and width with exact formulas.

Calculate the area, side length and perimeter of a rhombus from its two diagonals using exact geometric formulas.

Calculate the volume, surface area and diameter of a sphere from its radius using exact formulas with π.

Calculate the area of a trapezoid from its two parallel sides and the perpendicular height between them.

Find the area of a triangle from its base and height, or from three side lengths using Heron’s formula, plus the perimeter.

Find the straight-line distance, midpoint and axis deltas between two points in 3D space.

Compute the area, width and circumferences of an annulus (ring) from its outer and inner radii.

Calculate arc length, chord length and sagitta of a circular arc from radius and central angle.

Calculate the area, arc length and perimeter of a circular sector from its radius and central angle.

Calculate the area, chord length, arc length and height of a circular segment from radius and central angle.

Compute the circumscribed and inscribed circle radii of a triangle from its three side lengths.

Calculate the volume, slant height and surface area of a right circular cone from its radius and height.

Compute the volume, slant height and surface areas of a conical frustum (truncated cone).

Calculate the volume, surface area and space diagonal of a cube from a single edge length using exact formulas.

Calculate the area and approximate perimeter of an ellipse from its semi-major and semi-minor axes using Ramanujan’s formula.

Estimate the circumference of an ellipse with Ramanujan's formula, plus its area and eccentricity.

Find the volume and approximate surface area of an ellipsoid from its three semi-axes.

Split a length by the golden ratio φ or scale a segment to find the larger and smaller golden parts.

Find the area of a triangle from the lengths of its three sides using Heron’s formula.

Find the volume, lateral area and total surface area of a regular hexagonal prism.

Calculate the area and perimeter of a parallelogram from its base, perpendicular height and side length.

Compute the area, perimeter and centroid of any polygon from its vertex coordinates using the shoelace formula.

Calculate the volume, slant height and surface area of a square pyramid from its base edge and height.

Compute the volume, surface area, height and sphere radii of a regular octahedron from its edge.

Find the area, perimeter, interior and exterior angles, apothem and circumradius of any regular polygon from its side length.

Find the volume, surface area, height and inscribed/circumscribed sphere radii of a regular tetrahedron.

Calculate the volume, curved surface area and base radius of a spherical cap (dome).

Calculate the area, perimeter and diagonal of a square from a single side length using exact geometric formulas.

Calculate the volume, surface area and diameters of a torus (doughnut) from its two radii.