For , the curve encloses a region outside . What is the exact area of the region…

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

Problem

For

0\le\theta\le\pi

, the curve

r=4\sin\theta

encloses a region outside

r=2\sin\theta

. What is the exact area of the region between these two curves on this interval? (a)

\dfrac{3\pi}{2}

(b)

3\pi

(c)

6\pi

(d)

\pi