Let be the region that lies between the curves and on the set where both curves are…

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

Problem

Let

R

be the region that lies between the curves

r=4\cos\theta

and

r=2\cos\theta

on the set where both curves are defined by

r\ge 0

. Calculate the total area of

R

. (a)

3\pi

(b)

6\pi

(c)

\dfrac{3\pi}{2}

(d)

\pi