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Calculators / Math / Rhombus from diagonals

Rhombus from diagonals calculator

Use the perpendicular diagonals of a rhombus to find its area; their half-lengths form a right triangle that determines each side and the perimeter.

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Your result

Area24units²
Perimeter20units

Calculator controls

How to calculate

Use the perpendicular diagonals of a rhombus to find its area; their half-lengths form a right triangle that determines each side and the perimeter.

Area = a*b/2 units²; Perimeter = 2*sqrt(a^2+b^2) units

Worked example

First diagonal: 6; Second diagonal: 8.

Area: 24 units²; Perimeter: 20 units.

Assumptions and limits

Use the perpendicular diagonals of a rhombus to find its area; their half-lengths form a right triangle that determines each side and the perimeter. Use the same length unit throughout. Angles marked degrees use degrees. Results describe ideal geometric shapes.

Results are rounded for display; calculations use unrounded values. Read our calculation methodology.

Understanding the result

Use the perpendicular diagonals of a rhombus to find its area; their half-lengths form a right triangle that determines each side and the perimeter.

When this tool is useful

Area = a*b/2 units²; Perimeter = 2*sqrt(a^2+b^2) units

Understanding your inputs

InputWhat to enter
First diagonalEnter a number of at least 1e-12 and no more than 1000000000000.
Second diagonalEnter a number of at least 1e-12 and no more than 1000000000000.

Frequently asked questions

What assumptions does this calculation use?

Use the perpendicular diagonals of a rhombus to find its area; their half-lengths form a right triangle that determines each side and the perimeter. Use the same length unit throughout. Angles marked degrees use degrees. Results describe ideal geometric shapes.

How is the result calculated?

Area = a*b/2 units²; Perimeter = 2*sqrt(a^2+b^2) units