Calculate the exact area of the region that lies inside the curve and outside the…

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

Problem

Calculate the exact area of the region that lies inside the curve

r=4\cos\theta

and outside the curve

r=2\cos\theta

for

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

. (a)

6\pi

(b)

3\pi

(c)

\dfrac{3\pi}{2}

(d)

\pi