The curve defined implicitly by is traced for with

MATHEMATICS · Single correct · AP · Calculus BC · Applications of Integration · Applications of Integration

Problem

The curve defined implicitly by

x^{2}+y^{2}=4y

is traced for

0\le y\le 4

with

x\ge 0

. What is the length of this curve? (a)

\pi

(b)

2\pi\sqrt{2}

(c)

2\pi

(d)

4\pi