A circle with centre O is inscribed in a square whose side is 6. AC = BD is the diameter of the circle. If \angle AOB = 15^{\circ}, the area of the shaded region is
A: \frac{3\pi}{8}
B: \frac{3\pi}{4}
C: \frac{\pi}{4}
D: \frac{3\pi}{5}
E: \frac{2\pi}{3}
Attachment:
circ.png
A: \frac{3\pi}{8}
B: \frac{3\pi}{4}
C: \frac{\pi}{4}
D: \frac{3\pi}{5}
E: \frac{2\pi}{3}