Question

What's a good algorithm for finding the area contained by intersecting polar curves?

Answer 1

Can you be a little more specific?

Answer 2

For example: Two intersecting circles, as given by r = 4cos(theta) and r = 4sqrt3 sin(theta). I am to find area in the small portion where they intersect.

Answer 3

integrate them

Answer 4

I understand I have to find the points were they intersect and it requires integrating, but how do I determine the bound of integration? and do I have to integrate the two circles separately?

Answer 5

*where

Answer 6

where do they intersect?

Answer 7

0 and someplace else right?

Answer 8

tan(t) = 1/sqrt(3) right?

Answer 9

yeah when theta = pi/6