Rhombus Calculator

Comprehensively calculate the area, perimeter, side length, and interior angles of a rhombus (diamond). Just enter the two diagonal lengths.

Results

Area

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Perimeter

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Side Length

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Inradius

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Smaller Angle

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Larger Angle

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GUIDE

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Automatically Calculate All Rhombus Values

A rhombus is a parallelogram with all four sides of equal length. This calculator automatically calculates area, perimeter, side length, and interior angles by just entering the two diagonal lengths. This diamond-shaped figure is frequently used in design and architecture.

Using Mathematically Accurate Formulas

Area is calculated using the formula (d₁ × d₂) / 2, and side length using the Pythagorean theorem √((d₁/2)² + (d₂/2)²). Perimeter is 4 × side length, and interior angles are precisely calculated using the arctangent function.

Essential Tool for Design and Architecture

Rhombuses are widely used in design and architecture, such as rhombus tiles, diamond patterns, and decorative lattices. Calculate accurate area and angles to create beautiful geometric patterns.

Easy to Understand with Visual Diagrams

Visually displays the rhombus and diagonals with SVG diagrams. The point where the two diagonals meet perpendicularly is clearly marked, making it intuitively understandable. Dark mode is also supported.

Optimized for Math Education

Useful for students learning the properties of parallelograms and rhombuses. You can see in real-time how area and angles change as you vary diagonal lengths, helping to develop geometric intuition.

Supports Both Mobile and Desktop

Responsive design allows convenient use on smartphones, tablets, and desktops anywhere. Calculate on-site immediately or use as educational material in the classroom.

Frequently asked questions

Can I get the area from just the diagonal lengths?

Yes. The area of a rhombus is (diagonal1 × diagonal2) / 2, so entering both diagonals is all you need.

How is the side length calculated?

Since the diagonals bisect each other at right angles, the side length is found using the Pythagorean theorem: √((d₁/2)² + (d₂/2)²).

Can this calculator handle a square?

Yes. A square is a special rhombus where both diagonals are equal, so entering the same value for d₁ and d₂ gives you the square's results.

How are the interior angles calculated?

Using the arctangent function on the right triangles formed by the diagonals; the smaller and larger interior angles of a rhombus always add up to 180°.

Why does the calculator show an inradius?

A rhombus always has an inscribed circle, so the inradius — derived from the area and perimeter — is useful for tile or lattice pattern design.