$$ \text{The area of the region, inside the circle }(x-2\sqrt{3})^{2}+y^{2}=12 \text{ and outside the parabola } y^{2}=2\sqrt{3}x \text{ is :} $$

A

$$ 3\pi+8 $$

B

$$ 6\pi-16 $$

C

$$ 3\pi-8 $$

D

$$ 6\pi-8 $$