Consider the circle C1 :r = 4, and the limaon C2 :r = 3- 2 sin 0. Note that both C1 and C2 are symmetric about the -axis. Let A and B be the points of intersection of C1 and C2. Let R be the region within C but outside C2, R1 and R2 be the region within both C1 and C2, as shown on the right. 1. Find polar coordinates (r, 0) for A and B, where r > 0 and 0 E [0, 27]. R2 B 2. Set up (and do not evaluate) the def- inite integral/s that will give the follow- A ing. a. perimeter of R1 b. area of R2.