# Thread: find the area between the loops...

1. ## find the area between the loops...

ok i was wondering if someone could check my setup on this problem..im not so sure i got it right..thanks in advance.IMG.pdf

2. The bigger integral should go from theta = -pi/6 to theta = 7pi/6, and the smaller one take what remains. And don't forget to square r.

3. ok can you explain how you got your limits? i see the formula A = integral (r^2) dtheta im jus a lil confused on how to figure out the limits.... thanks

4. You want to find the values of theta when the curve passes through the origin, and these are just when r = 0. Solving gives theta = asin(-1/2) = -pi/6 and -5 pi/6.

5. one last question, where did the 7pi/6 come from? it was used as one of the limits...