area of a rhombus calculator

Rhombus Area Calculator

Choose a method, enter the known values, and calculate the area instantly.

Angle must be greater than 0° and less than 180°.

What is the area of a rhombus?

A rhombus is a four-sided shape where all sides are equal in length. The area of a rhombus tells you how much surface the shape covers. Depending on what measurements you know, there are multiple formulas you can use.

Formulas used in this calculator

1) When both diagonals are known

Area = (d₁ × d₂) / 2

This is the most common method in geometry problems. Just multiply the diagonals and divide by 2.

2) When base and height are known

Area = b × h

A rhombus is also a parallelogram, so the area rule for parallelograms works here too.

3) When side and angle are known

Area = s² × sin(θ)

If you have one side and the included angle between two adjacent sides, this trigonometric formula gives the area directly.

How to use this area of a rhombus calculator

  • Select the formula method from the dropdown.
  • Enter the required values for that method.
  • Click Calculate Area to see the result.
  • Use Reset to clear the inputs and start again.

Worked examples

Example A: Using diagonals

If d₁ = 14 and d₂ = 10, then area = (14 × 10) / 2 = 70 square units.

Example B: Using base and height

If base = 11 and height = 6, then area = 11 × 6 = 66 square units.

Example C: Using side and angle

If side = 8 and angle = 30°, then area = 8² × sin(30°) = 64 × 0.5 = 32 square units.

Common mistakes to avoid

  • Confusing diagonal length with side length.
  • Forgetting to divide by 2 in the diagonal formula.
  • Using an angle of 0° or 180° in the side-angle method.
  • Mixing units (for example, cm for one input and m for another).

Quick FAQ

Is a rhombus the same as a square?

A square is a special type of rhombus where all angles are 90°. Not every rhombus is a square.

What unit is the result in?

The result is in square units based on your input units (cm², m², in², etc.).

Can I use decimals?

Yes. The calculator supports decimal values for all numeric inputs.

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