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Enter any three of the six measurements. The calculator names the case, shows the working, and returns both triangles when SSA is ambiguous.

Solve a right triangle from two sides, or one side and one acute angle. Pythagoras and trig ratios do the rest.

Solve a² + b² = c² for the missing side, or test whether three sides form a right triangle.

Enter any one of radius, diameter, circumference or area. Get the rest, plus arc and sector from a central angle.

Find area, perimeter and diagonal from length and width. Switch to square mode when all sides are equal.

Area from base and height, or from two sides and the included angle.

Area from the perpendicular diagonals, or from side and height.

US trapezoid equals UK trapezium: one pair of parallel sides. Area is the average of the bases times height.

Regular n-gon from side count plus side length, apothem or circumradius.

Area of the ring between two concentric circles: π(R² − r²).

A rectangle capped by two semicircles (discorectangle). The 2D counterpart of the capsule.

Volume, slant height, and lateral vs total surface area from radius and height.

Volume and surface area of a right circular cylinder. Lateral and total SA are listed separately.

Volume and surface area from radius, diameter, volume or surface area.

Half a sphere. Total surface area includes the curved half and the flat circular base.

Volume of a pyramid from base area and height. Square-base mode also returns slant height and surface areas.

Box volume, surface area and space diagonal from length, width and height.

Volume equals triangular base area times length. Enter three triangle sides or the base area directly.

A cylinder capped by two hemispheres. The 3D counterpart of the stadium.

Hollow cylinder / pipe volume and surface area. The 3D counterpart of the annulus.

A cone with the top sliced off parallel to the base. Useful for buckets, lampshades and glasses.

A square pyramid with the top sliced off parallel to the base.

Pick a solid and enter its dimensions. Lateral and total surface areas are labelled when both apply.

From two points: slope, angle, distance and the line equation. Distance is Pythagoras on coordinates.

Distance between two points in 2D or 3D. The formula is the Pythagorean theorem on coordinate differences.

Find the midpoint of a segment, or the other endpoint when one end and the midpoint are known.

Find the area, perimeter and diagonal of a square from a single side length.

Solve a triangle with the law of cosines, c² = a² + b² − 2ab cos(C), for SAS and SSS cases.

Solve a triangle with the law of sines, a/sin(A) = b/sin(B) = c/sin(C), for ASA, AAS and SSA cases.

Apply the angle sum, exterior angle and triangle inequality theorems, and solve for any three known measurements.

Find the area, perimeter and height of an equilateral triangle from one side length. All three angles are 60°.

Find the area, height and angles of an isosceles triangle from its equal legs and base.

Solve a right triangle from two sides, or one side and one acute angle, using Pythagoras and trig ratios.