![Image](https://s8.postimg.cc/4e1jaynqp/T7904.png)
An equilateral triangle is inscribed in a circle, as shown above. What is the area of the shaded region, if the area of the circle is 2?
$$A.\ 2-3\sqrt{3}$$
$$B.\ 2-\frac{3\sqrt{3}}{\pi}$$
$$C.\ 2-\frac{3\sqrt{3}}{4}$$
$$D.\ 2-\frac{3\sqrt{3}}{2\pi}$$
$$E.\ 2\pi-\frac{3\sqrt{3}}{2\pi}$$
The OA is D.
I don't have clear this PS question. Can anyone give a strategic approach to solve it? Thanks!