Find the Centroid of the Region Bounded by the Graphs $$y = | x | \sqrt { 16 - x ^ { 2 } } , \quad y = 0 , \quad x = - 4 , \quad x = 4$$

Multiple Choice

Find the centroid of the region bounded by the graphs of the given equations.
$$y = | x | \sqrt { 16 - x ^ { 2 } } , \quad y = 0 , \quad x = - 4 , \quad x = 4$$

A) $\left( \frac { 5 } { 16 } , 0 \right)$
B) $\left( \frac { 16 } { 5 } , 0 \right)$
C) $\left( 0 , \frac { 5 } { 16 } \right)$
D) $\left( 0 , \frac { 16 } { 5 } \right)$