Calculate the exact area of the region that is inside the circle but outside the curve for

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

Problem

Calculate the exact area of the region that is inside the circle

r=3

but outside the curve

r=2\cos\theta

for

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

. Provide your answer in terms of

\pi