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 enclosed by the parabolas $y = - x ^ { 2 } + 50$ and $y = x ^ { 2 }$

A) $\bar { x } = 0 , \bar { y } = 50$
B) $\bar { x } = 0 , \bar { y } = 25$
C) $\bar { x } = 0 , \bar { y } = 20$
D) $\overline { \mathrm { x } } = 25 , \overline { \mathrm { y } } = 0$