# Parallelogram Area Calculator

## Area

## Parallelogram

## Parallelogram Area

A parallelogram is a four-sided polygon with two pairs of parallel sides. To calculate the area of a parallelogram, you need to know the length of the base and the height. Our calculator makes it easy to find the area of your parallelogram using different methods:

- Diagonals and the angle between them
- Sides and the angle between them
- Side and height

## Parallelogram Area Formulas

There are three main formulas to find the area of a parallelogram:

**Diagonal and Angle Formula:**A = (d_{1}× d_{2}× sin(θ)) / 2. This formula is used when you know the length of the two diagonals and the angle between them. The formula is derived from the fact that the area of a parallelogram is equal to half the product of its diagonals multiplied by the sine of the angle between them.**Side and Angle Formula:**A = a × b × sin(θ). This formula is used when you know the length of two adjacent sides and the angle between them. The formula is derived from the fact that the area of a parallelogram is equal to the product of its adjacent sides multiplied by the sine of the angle between them.**Side and Height Formula:**A = b × h. This formula is used when you know the length of one side and the height of the parallelogram. The formula is derived from the fact that the area of a parallelogram is equal to the product of its base and height.

## How to Use the Parallelogram Area Calculator

To use our parallelogram area calculator:

- Select the method you want to use to find the area of your parallelogram.
- Enter the required values in the input boxes.
- Our calculator automatically will give you the answer.

## Example

Let's say you have a parallelogram with diagonals of length 8 cm and 10 cm, and an angle between them of 45 degrees. To find the area using the diagonal and angle formula:

- Select the `Diagonal and Angle` method in the calculator.
- Enter 8 cm and 10 cm in the input boxes for the diagonal lengths.
- Enter 45 degrees in the input box for the angle.
- Our calculator automatically will give you the answer.

The area of the parallelogram will be (8 cm × 10 cm × sin(45°)) / 2 = 28.28 square centimeters.

## Conclusion

Calculating the area of a parallelogram can be a tricky task. Our parallelogram area calculator and formulas make it easy to find the area of your parallelogram using different methods.

## Tags

- Area
- Volume
- Perimeter
- Side
- Height
- Diagonal
- Radius
- Median
- Bisector
- Angle
- Theorems