The Center of Mass of a Lamina in the Shape $y = \sin x$

Multiple Choice

The center of mass of a lamina in the shape of a region in the xy-plane bounded by the x-axis, $y = \sin x$ from x = 0 to x =?with area density $\rho ( x , y ) = y$ is

A) $\left( \frac { \pi } { 2 } , \frac { 9 } { 16 \pi } \right)$
B) $\left( \frac { \pi } { 2 } , \frac { 9 \pi } { 16 } \right)$
C) $\left( \frac { \pi } { 2 } , \frac { 16 \pi } { 7 } \right)$
D) $\left( \frac { \pi } { 2 } , \frac { 16 } { 9 \pi } \right)$
E) $\left( \frac { \pi } { 2 } , \frac { 16 \pi } { 9 } \right)$