Find the Moment or Center of Mass of the Wire $y = \sqrt { 36 - x ^ { 2 } }$

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 $y = \sqrt { 36 - x ^ { 2 } }$ if the density of the wire is $\delta =$ $| \cos \theta |$ .

A) $\bar { x } = 2 , \bar { y } = 2$
B) $\bar { x } = 0 , \bar { y } = 3$
C) $\bar { x } = 0 , \bar { y } = 2$
D) $\bar { x } = 3 , \bar { y } = 3$