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}