Find the Moment or Center of Mass of the Wire $x ^ { 2 } + y ^ { 2 } = 25$

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 first-quadrant portion of the circle $x ^ { 2 } + y ^ { 2 } = 25$ if the density of the wire is $\delta = 5 \sin \theta$ .

A) $\bar { x } = 0 , \bar { y } = \frac { 5 } { 8 } \pi$
B) $\bar { x } = 5 \pi , \bar { y } = 5 \pi$
C) $\bar { x } = \frac { 5 } { 4 } \pi , \bar { y } = \frac { 5 } { 4 } \pi$
D) $\bar { x } = \frac { 5 } { 8 } \pi , \bar { y } = \frac { 5 } { 8 } \pi$