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Polar Area Calculator

Calculate Polar Area



Formula

To calculate the Polar Area (PA):

PA=12×(a57.2958)×r2

Where:

What is a Polar Area?

The polar area is the area swept out by a radius vector as it rotates through an angle in a polar coordinate system. The formula provided calculates this area given a specific angle and radius.

Example Calculation 1

Let's assume the following values:

Using the formula:

Step 1: Convert the angle to radians:

arad=6057.2958=1.0472radians

Step 2: Calculate the Polar Area:

PA=12×1.0472×52=13.09squareunits

The Polar Area is 13.09 square units.

Example Calculation 2

Let's assume the following values:

Using the formula:

Step 1: Convert the angle to radians:

arad=9057.2958=1.5708radians

Step 2: Calculate the Polar Area:

PA=12×1.5708×32=7.07squareunits

The Polar Area is 7.07 square units.