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. (4pi)/3
B. (8pi)/3
C. 4pi
D. (4pi)/3 - √3
E. (25pi)/12 -√3
Spoiler: E
A. (4pi)/3
B. (8pi)/3
C. 4pi
D. (4pi)/3 - √3
E. (25pi)/12 -√3
Spoiler: E
