Enter the polar angle (degrees) and the polar radius into the Polar Area Calculator. The calculator will evaluate the Polar Area.

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- Polar Coordinates Calculator
- Rotation Calculator (new coordinates by rotation)

## Polar Area Formula

The following two example problems outline the steps and information needed to calculate the Polar Area.

PA = 1/2 * (a/57.2958) * r^2

- Where PA is the Polar Area
- a is the polar angle (degrees)
- r is the polar radius

To calculate the polar area, multiply the angle in radians by the radius squared, then divide by 2.

## How to Calculate Polar Area?

The following example problems outline how to calculate Polar Area.

Example Problem #1:

- First, determine the polar angle (degrees).
- The polar angle (degrees) is given as: 30.

- Next, determine the polar radius.
- The polar radius is provided as: 5.

- Finally, calculate the Polar Area using the equation above:

PA = 1/2 * a * r^2

The values provided above are inserted into the equation below and computed.

PA = 1/2 * (30/57.2958) * 5^2 = 6.54

Example Problem #2:** **

For this problem, the variables required are provided below:

polar angle (degrees) = 6

polar radius = 30

Test your knowledge using the equation and check your answer with the calculator.

PA = 1/2 * a * r^2** = ?**