Rhombus Calculator

There are three main methods: (1) multiply base × height, (2) multiply the two diagonals together and divide by 2 — Area = (p × q) / 2, or (3) use the formula Area = side² × sin(angle). The diagonals method is most common when both diagonal lengths are known.

Use the formula K = (p × q) / 2, where p and q are the lengths of the two diagonals. For example, if p = 16 and q = 12, the area is (16 × 12) / 2 = 96 square units.

First find the side length: a = Perimeter / 4. Then find the other diagonal using the Pythagorean theorem: q = 2 × √(a² − (p/2)²). Finally compute area = (p × q) / 2.

Using the formula K = (p × q) / 2 = (8 × 10) / 2 = 40 square units.

Every square is a rhombus (all sides equal, all angles 90°), but not every rhombus is a square. Every rhombus is also a parallelogram (opposite sides parallel and equal), but not every parallelogram is a rhombus.

The two diagonals of a rhombus are perpendicular to each other and bisect each other at right angles. They also bisect the corner angles, which means each diagonal splits its corresponding angle into two equal halves.

Since all four sides of a rhombus are equal, the perimeter is simply P = 4 × a, where a is the side length. If you only know the diagonals, compute a = √((p/2)² + (q/2)²) first, then multiply by 4.

You need to provide at least two known values — any combination of side length, diagonal p, diagonal q, height, or angle A. The calculator will derive all other properties including area, perimeter, both diagonals, height, and all four corner angles.