Mathematics

Problem

A path consists of three consecutive segments: • Segment A: the vertical line from

(0,0)

(0,3)

. • Segment B:

x(\theta)=2\cos \theta,\; y(\theta)=2+2\sin \theta

for

\tfrac{\pi}{2}\le\theta\le 0

. • Segment C: the straight line from the terminal point of Segment B to

(6,0)

. a. Compute the exact length of Segment B only.