Let be the region that lies inside both curves and

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

Problem

Let

S

be the region that lies inside both curves

r=4\cos\theta

and

r=4\sin\theta

. What is the exact area of

S

? (a)

2\pi+4

(b)

2\pi-4

(c)

4\pi-8

(d)

\pi-2