Diameter, circumference and area of a circle from its radius.

Euclidean, Manhattan and Chebyshev distance between two 2-D points.

Area (shoelace formula), perimeter and centroid of a simple polygon given its vertices in order. Vertices are treated as a closed ring (last connects to first).

Area, perimeter and diagonal of a rectangle from its width and height.

Area (Heron's formula), perimeter and interior angles of a triangle from its three side lengths. Sides that violate the triangle inequality are rejected as a clean 400.