Micro Tools
Advertisement

Rhombus Area Calculator

Find the area of a rhombus from its two diagonals, plus side length and perimeter.

Rhombus Area

Enter the two diagonals. Results update live.

Result
-

Enter numbers to see the result.

Side length
-
Perimeter
-
Formula: Area = (d1 x d2) / 2. Side = sqrt((d1/2)^2 + (d2/2)^2), since diagonals bisect at right angles.
Advertisement

Half the product of the diagonals

A rhombus's diagonals cross at right angles and cut each other in half, splitting the shape into four identical right triangles. Each triangle has area (d1/2 x d2/2)/2, and four of them give the neat formula: area = (d1 x d2) / 2.

Side from the diagonals

The same right triangles give the side length via Pythagoras: side = sqrt((d1/2)^2 + (d2/2)^2). All four sides are equal, so the perimeter is simply four times that.

Related tools

Mortgage calculatorMonthly cost with taxes, insurance, PMI and payoff schedule. Loan calculatorMonthly payment and interest for auto and personal loans. Compound interestSee how savings grow with compound interest.

Rhombus Area FAQs

What is the area of a rhombus with diagonals 8 and 6?
(8 x 6) / 2 = 24. The defaults show this right away, with side 5 and perimeter 20.
What is the rhombus area formula?
Area = (d1 x d2) / 2, where d1 and d2 are the two diagonals. It works because the diagonals split the rhombus into four congruent right triangles.
How do you find the side from the diagonals?
The diagonals bisect each other at right angles, so side = sqrt((d1/2)^2 + (d2/2)^2) by the Pythagorean theorem.
Is a square a rhombus?
Yes, a square is a rhombus with equal diagonals and right angles. The same formulas apply.
Is anything uploaded?
No. The math runs locally in your browser.
Advertisement