# Rhombus Area Calculator

> Rhombus area from its diagonals, with side length and perimeter.

Page: https://freecalculator.tech/tools/rhombus-area-calculator
Last reviewed: 2026-11-03

## Formula

A = p × q ÷ 2. The diagonals bisect each other at right angles, so side = √((p/2)² + (q/2)²) and perimeter = 4 × side.

- Source: Wolfram MathWorld, Rhombus.
- A = p × q ÷ 2. The diagonals bisect each other at right angles, so side = √((p/2)² + (q/2)²) and perimeter = 4 × side.
- Inputs used: Diagonal p, Diagonal q, Unit (labels only — no conversion).

## Inputs

- Diagonal p
- Diagonal q
- Unit (labels only — no conversion)

## Worked example: Rhombus with diagonals 8 and 6

8 × 6 ÷ 2 = 24 cm²; side 5 cm.
1. Area = 8 × 6 ÷ 2 = 24 cm².
2. Side = √(4² + 3²) = 5 cm; perimeter = 20 cm.

## Common questions

### What if I know side and height instead?

A rhombus is a parallelogram, so area = side × height — use the parallelogram calculator.

### Is a square a rhombus?

Yes. A square is a rhombus with equal diagonals.

### Do the diagonals need to be perpendicular?

In every rhombus they are; that property is what makes p × q ÷ 2 work.

### How do I use the Rhombus Area Calculator?

Enter the required values for Diagonal p, Diagonal q, Unit (labels only — no conversion). The calculator applies the formula on this page and shows the main result with any supporting breakdown so you can check the arithmetic.

### What formula does the Rhombus Area Calculator use?

A = p × q ÷ 2. The diagonals bisect each other at right angles, so side = √((p/2)² + (q/2)²) and perimeter = 4 × side. The visible formula section above lists the calculation path and the edge cases the page handles, so the result can be checked without relying on the form alone.

### Can the Rhombus Area Calculator be used for exact decisions?

Use it as a calculation aid, not as a substitute for checking the underlying rule, contract, policy, or professional advice that applies to your situation. When a result depends on local rules, personal details, prices, or dates, enter those values yourself and confirm them before acting.

## Limitations and assumptions

- Plane rhombi only.
- Inputs must be full diagonal lengths.
- Exact mathematical relationships, rounded for display. Check units and rounding before using a result in graded, engineering or financial work.
- The result depends on the values you enter for this rhombus area calculator; it does not supply missing rates, rules, prices, dates, or assumptions for you.

## Sources

- Wolfram MathWorld — https://mathworld.wolfram.com/Rhombus.html

## Cite this page

- APA: Free Calculator. (2026, November 3). Rhombus Area Calculator. https://freecalculator.tech/tools/rhombus-area-calculator
- MLA: "Rhombus Area Calculator." Free Calculator, 3 Nov. 2026, https://freecalculator.tech/tools/rhombus-area-calculator.
- Link: Rhombus Area Calculator — Free Calculator, https://freecalculator.tech/tools/rhombus-area-calculator