Rhombus Area Calculator
Half the product of the diagonals — the half matters.
Work out Rhombus Area. Half the product of the diagonals — the half matters. Free, with no account and nothing to download.
Alternative to the diagonals — use with the angle below.
Area
24
half of 6 × 8
From the diagonals the area is HALF their product, not the product. The diagonals of a rhombus bisect each other at right angles and cut it into four congruent right triangles, and adding those four up gives d₁d₂/2. Forgetting the half doubles the answer. Because the diagonals meet at right angles, the side falls straight out of Pythagoras on half of each: s = √((d₁/2)² + (d₂/2)²). A rhombus with a right angle is a square, and a square is the only rhombus whose diagonals are equal.
How the Rhombus Area Calculator works
Enter both diagonals, or a side with an interior angle. From the diagonals the area is half their product — forgetting the half doubles the answer, and it is the single commonest error with this shape.
Also known as: area of a rhombus using diagonals · diamond shape area calculator · rhombus side from diagonals · rhombus perimeter calculator
Frequently asked questions
What is the area of a rhombus?
Half the product of the diagonals, d₁d₂/2. Alternatively, side² × sin(angle) if you have a side and an interior angle.
Why is it half the product and not the product?
Because the diagonals bisect each other at right angles, cutting the rhombus into four congruent right triangles. Adding those four gives exactly half the rectangle the diagonals would span.
How do I find the side from the diagonals?
Pythagoras on half of each: s = √((d₁/2)² + (d₂/2)²). The diagonals meet at right angles, so each half-diagonal pair forms a right triangle with the side as hypotenuse.
Is a square a rhombus?
Yes — a rhombus with right angles. It is the only rhombus whose diagonals are equal, and the only one that is also a rectangle.
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