Determine the exact area of the region that lies inside and outside for .

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

Problem

Determine the exact area of the region that lies inside

r=4\cos\theta

and outside

r=2\cos\theta

for

-\tfrac{\pi}{2}\le\theta\le\tfrac{\pi}{2}

. (a)

4\pi

(b)

3\pi

(c)

6\pi

(d)

\tfrac{3\pi}{2}