Find the Centroid of the Region Bounded by the Graphs $y=|x| \sqrt{4-x^{2}}, \quad y=0, \quad x=-2, \quad x=2$

Multiple Choice

Find the centroid of the region bounded by the graphs of the given equations. $y=|x| \sqrt{4-x^{2}}, \quad y=0, \quad x=-2, \quad x=2$

A) $\left(0, \frac{4}{5}\right)$
B) $\left(\frac{5}{4}, 0\right)$
C) $\left(\frac{4}{5}, 0\right)$
D) $\left(0, \frac{5}{4}\right)$