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 $\delta = \cos \theta$ .

A) $\bar { x } = \frac { 5 } { 2 } , \bar { y } = \frac { 5 } { 2 }$
B) $\bar { x } = \frac { 10 } { \pi } , \bar { y } = \frac { 10 } { \pi }$
C) $\bar { x } = \frac { 5 } { 4 } , \bar { y } = \frac { 5 } { 4 }$
D) $\bar { x } = \frac { 5 } { 3 } , \bar { y } = \frac { 5 } { 3 }$