A calculator gives the value for

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

Problem

A calculator gives the value

8.377

for

\displaystyle\int_{0}^{\pi/3} (4\sin\theta)^{2}\,d\theta

. What is the approximate area, in square units, enclosed by

r=4\sin\theta

for

0\le\theta\le\pi/3

? (a)

2.09

(b)

4.19

(c)

8.38

(d)

1.00