Solve the Problem $\delta = 3$ Bounded by The $x$ -Axis and the Curve

Multiple Choice

Solve the problem.
-Find the center of mass of the thin semicircular region of constant density $\delta = 3$ bounded by the $x$ -axis and the curve $y = \sqrt { 25 - x ^ { 2 } }$ .

A) $\bar { x } = 0 , \bar { y } = \frac { 40 } { 3 \pi }$
B) $\bar { x } = 0 , \bar { y } = \frac { 5 } { 3 \pi }$
C) $\bar { x } = 0 , \bar { y } = \frac { 20 } { 3 \pi }$
D) $\bar { x } = 0 , \bar { y } = \frac { 10 } { 3 \pi }$