A regular hexagon of side length 1 is inscribed in a circle. Each minor arc of the circle determined by a side of the hexagon is reflected over that side. What is the area of the region bounded by these 6 reflected arcs?

**Answer Choices**

A. \dfrac{5 \sqrt{3}}{2}-\pi

B. 3 \sqrt{3}-\pi

C. 4 \sqrt{3}-\dfrac{3 \pi}{2}

D. \pi-\dfrac{\sqrt{3}}{2}

E. \dfrac{\pi+\sqrt{3}}{2}