Reckoning

Reckoning / Shape / Rhombus

Plane figure · Quadrilaterals

Rhombus

Four equal sides; the diagonals cross at right angles and halve each other.

Dimensions

Results

area A
side s
perimeter P

Formulas

The diagonals split it into four right triangles with legs p/2 and q/2; four of them make half of the p by q rectangle that encloses the rhombus.

Checked: the A formula agrees with a Monte Carlo measurement of the shape itself, made from its geometric definition, every time the site is built.

Topology lens

Topologically a disc, like every figure here without a hole: Euler characteristic 1. Stretching turns it into a circle, a square or a star. More on the lens.