Question 67
Inside a circle of radius $1$, $3$ arcs of circle, also of radius $1$, are drawn, centered at the vertices of an equilateral triangle inscribed in the circle. What is the area of the shaded region?
(A) $\frac{\sqrt{3}}{4} \pi$
(B) $\pi-\frac{3 \sqrt{3}}{4}$
(C) $\pi-\frac{3 \sqrt{3}}{2}$
(D) $\frac{3 \sqrt{3}}{2}$
(E) $6-\pi$.
(A) $\frac{\sqrt{3}}{4} \pi$
(B) $\pi-\frac{3 \sqrt{3}}{4}$
(C) $\pi-\frac{3 \sqrt{3}}{2}$
(D) $\frac{3 \sqrt{3}}{2}$
(E) $6-\pi$.