To calculate the Polar Area (PA):
PA=12×(a57.2958)×r2
Where:
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.
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.
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.