Determine the area of the region that is inside the cardioid and outside the circle .

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Determine the area of the region that is inside the cardioid

r=2+2\sin\theta

and outside the circle

r=2

. (a)

8+2\pi

(b)

8

(c)

\pi+8

(d)

4\pi