Determine the exact total area enclosed by the cardioid .

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

Problem

Determine the exact total area enclosed by the cardioid

r=3+3\cos\theta

. (a)

27\pi

(b)

9\pi

(c)

\dfrac{27\pi}{2}

(d)

\dfrac{27\pi}{4}