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.
Everyday Uses
Kite building
Kites are rhombi — size the diagonals to get the sail area for material.
Tile patterns
Diamond tiles and parquet layouts need rhombus area for accurate material orders.
Craft projects
Cut diamond shapes for quilts, decorations, and jewelry with correct dimensions.
Geometry homework
Check area from diagonals or side-and-height, with the formulas shown.
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°.