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

## 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

## How to Calculate Polar Area?

The following example problems outline how to calculate Polar Area.

Example Problem #1:

1. First, determine the polar angle (degrees).
• The polar angle (degrees) is given as: 30.
2. Next, determine the polar radius.
• The polar radius is provided as: 5.
3. 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