If a Is the Area of the Intersection of the Regions

Multiple Choice

If A is the area of the intersection of the regions inside $r ^ { 2 } = 4 \sin 2 \theta$ and outside $r = \sqrt { 2 },$ then A is

A) $12 \pi - 9 \sqrt { 3 }$
B) $3 \sqrt { 3 } - \pi$
C) $\frac { 4 - 2 \pi } { 3 }$
D) $\pi + 1 - \sqrt { 3 }$
E) $\frac { 8 - \pi } { 4 }$