According to the given information, what is the area of the shaded region in $\mathbf { cm } ^ { \mathbf { 2 } }$?\\
A) $4 ( 3 \pi + 4 \sqrt { 3 } )$\\
B) $6 ( \pi + 4 \sqrt { 3 } )$\\
C) $6 ( 2 \pi + 3 \sqrt { 3 } )$\\
D) $12 ( \pi + 2 \sqrt { 3 } )$\\
E) $12 ( 2 \pi + \sqrt { 3 } )$