The figure shown is called a trefoil and is constructed by drawing circular sectors about sides of the congruent equilateral triangles. What is the area of a trefoil whose horizontal base has length 2 ?
Answer Choices
A. \dfrac{1}{3} \pi+\dfrac{\sqrt{3}}{2}
B. \dfrac{2}{3} \pi
C. \dfrac{2}{3} \pi+\dfrac{\sqrt{3}}{4}
D. \dfrac{2}{3} \pi+\dfrac{\sqrt{3}}{3}
E. \dfrac{2}{3} \pi+\dfrac{\sqrt{3}}{2}