Rhombus Calculator
Calculate the area, perimeter, side, height, diagonals, and interior angles of a rhombus — from its diagonals, from side and angle, or from side and height.
Frequently Asked Questions
How do you find the area of a rhombus?
Three equivalent formulas: (1) from the diagonals, Area = (p × q) ÷ 2; (2) from a side and an interior angle, Area = a² × sin(θ); (3) from a side and its height, Area = a × h. Example: diagonals of 8 and 6 give Area = (8 × 6) ÷ 2 = 24.
How are the side and diagonals of a rhombus related?
The diagonals of a rhombus bisect each other at right angles, so each side is the hypotenuse of a right triangle with legs p/2 and q/2: a = √((p/2)² + (q/2)²). With diagonals 8 and 6, the side is √(16 + 9) = 5.
What is the difference between a rhombus and a square?
A rhombus has four equal sides but its angles need not be 90°. A square is the special case of a rhombus where all angles are right angles (which also makes the diagonals equal). Every square is a rhombus, but not every rhombus is a square.
Do the angles of a rhombus add up to 360°?
Yes — like every quadrilateral. In a rhombus, opposite angles are equal and adjacent angles are supplementary (sum to 180°). So if one angle is 60°, the four angles are 60°, 120°, 60°, and 120°.