What is the exact length of the curve for ?

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

Problem

What is the exact length of the curve

r=4\sin\theta

for

0\le \theta\le \pi

? (a)

2\pi

(b)

4\pi

(c)

6\pi

(d)

8\pi