# Limacon Area

• Oct 9th 2008, 08:52 PM
andrewsx
Limacon Area
Find the area inside the larger loop and outside the smaller loop of the limacon http://www.math.ucla.edu/~ronmiech/C...3/IMG00001.GIF. I'm having trouble visualizing this ann setting up the integral.
• Oct 9th 2008, 08:55 PM
Chris L T521
Quote:

Originally Posted by andrewsx
Find the area inside the larger loop and outside the smaller loop of the limacon http://www.math.ucla.edu/%7Eronmiech...3/IMG00001.GIF. I'm having trouble visualizing this ann setting up the integral.

Here's the graph:

http://img.photobucket.com/albums/v4...21/limacon.jpg

Can you try to set up the integral now?

--Chris
• Oct 10th 2008, 09:09 PM
andrewsx
Limaconn
I'm going to try this one as well. Since the polar graph goes around 2pi

then the inntegral from 0 to 2pi of (1/2+cosx)^2/2 -2*integral(2pi/3to4pi/3) (1/2+cosx)^2/2?

The 2* integral comes from the fact that you have to subtract the inner loop twice since it went around twice initially.

Verify anyone?