Polar Area Sweep

sweep area

lines for θ and α

standard angles

angle to start area sweep α

trace angle θ

α = 0 = 0 π θ = 0 = 0 π

r = 3sin(3θ) r = 0

Choose a polar graph and move the

θ

slider to illustrate how area is swept out for polar graphs. Adjust

α

to set the angle where the area fill begins. (The values of the angles and the function are shown; however the area is not calculated because some graphs have overlapping regions.)

External Links

Polar Coordinates (Wolfram MathWorld)

Polar Plot (Wolfram MathWorld)

Permanent Citation

Abby Brown

"Polar Area Sweep"
http://demonstrations.wolfram.com/PolarAreaSweep/
Wolfram Demonstrations Project
Published: March 7, 2011