A regular hexagon is inscribed in a circle. What is the ratio of the area of the circle to that of its portion not covered by the hexagon ?

A

$$\frac{2\pi}{2\pi - 3\sqrt3}$$

B

$$\frac{\pi}{\pi - 3\sqrt3}$$

C

$$\frac{2\pi}{\sqrt3}$$

D

$$\frac{\pi}{\sqrt3}$$