Rhombus Calculator

A rhombus has four equal sides. Its two diagonals bisect each other at right angles, which makes them the easiest way to work it out.

Rhombus from diagonals

Area24
Side length
5
Perimeter
20
Angles
73.7398° and 106.2602°

Working

  1. A = p × q ÷ 2 = 8 × 6 ÷ 2 = 24
  2. Side = √((p/2)² + (q/2)²) = 5

Formulas

area = p × q ÷ 2

side = √((p ÷ 2)² + (q ÷ 2)²)

perimeter = 4 × side

Worked example

Diagonals 8 and 6

  1. Area: 8 × 6 ÷ 2 = 24
  2. Half-diagonals are 4 and 3, so side = √(16 + 9) = 5
  3. Perimeter: 4 × 5 = 20

Area 24, side 5, perimeter 20.

Rhombus, square, kite

A square is a rhombus with right angles. A kite has two pairs of adjacent equal sides and shares the area formula p × q ÷ 2, because its diagonals are also perpendicular.