Find the Center of Mass of a Thin Plate of Constant

Multiple Choice

Find the center of mass of a thin plate of constant density covering the given region.
-The region bounded by the $x$ -axis and the curve $y = 7 \sin x , 0 \leq x \leq \pi$

A) $\bar { x } = \frac { \pi } { 2 } , \bar { y } = \frac { 49 \pi } { 4 }$
B) $\bar { x } = \pi , \bar { y } = \frac { 7 \pi } { 4 }$
C) $\bar { x } = \frac { \pi } { 2 } , \bar { y } = \frac { 7 \pi } { 8 }$
D) $\bar { x } = \frac { \pi } { 2 } , \bar { y } = \frac { 7 \pi } { 2 }$