An isosceles triangle with one angle of 120° is inscribed in

An isosceles triangle with one angle of 120 is inscribed in a circle of radius 2. This triangle is rotated 90 about the center of the circle. What is the total area covered by the triangle throughout this movement, from starting point to final resting point?

A. \frac{4\pi}{3}

B. \frac{8\pi}{3}

C. 4\pi

D.\frac{4\pi}{3}-\sqrt{3}

E.\frac{25\pi}{12}-\sqrt{3}

Manhattan GMAT challenge of the week.