Find the Moment or Center of Mass of the Wire $y = \sqrt { 4 - x ^ { 2 } }$

Multiple Choice

Find the moment or center of mass of the wire, as indicated.
-Find the center of mass of a wire that lies along the semicircle $y = \sqrt { 4 - x ^ { 2 } }$ if the density of the wire is $\delta = 2 \sin \theta$ .

A) $\bar { x } = \frac { 1 } { 2 } \pi , \bar { y } = \frac { 1 } { 2 } \pi$
B) $\bar { x } = 0 , \bar { y } = \frac { 1 } { 4 } \pi$
C) $\bar { x } = \frac { 1 } { 4 } \pi , \bar { y } = \frac { 1 } { 4 } \pi$
D) $\bar { x } = 0 , \bar { y } = \frac { 1 } { 2 } \pi$