On , the curves and bound a planar region. What is the exact area of this…

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

Problem

0\le\theta\le\pi

, the curves

r=1+\cos\theta

and

r=1

bound a planar region. What is the exact area of this region? (a)

1+\dfrac{\pi}{8}

(b)

4

(c)

2

(d)

\dfrac{\pi}{2}