Determine the exact area enclosed by the polar curve .

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

Problem

Determine the exact area enclosed by the polar curve

r = 3\sin\theta

. (a)

\dfrac{9\pi}{8}

(b)

\dfrac{9\pi}{4}

(c)

\dfrac{9\pi}{16}

(d)

\dfrac{9\pi}{2}