Find the area of the region that lies inside the circle and outside the curve for .

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

Problem

Find the area of the region that lies inside the circle

r = 2

and outside the curve

r = 2\cos\theta

for

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

. (a)

\pi

(b)

\dfrac{\pi}{2}

(c)

\pi-1

(d)

\dfrac{\pi}{4}