选择题

2017 AMC 8 Problem 25: Curved Region Area

In the figure shown, US and UT are line segments each of length 2, and m∠TUS = 60°. Arcs TR and SR are each one-sixth of a circle with radius 2. What is the area of the region shown?

2017 AMC 8 第 25 题:弯曲区域面积

图中,US和UT分别是长度为2的线段,m∠TUS = 60°。圆弧 TR 和 SR 均为半径为 2 的圆的六分之一。所示区域的面积是多少

A.
3√3 − π
B.
4√3 − 4π/3
C.
2√3
D.
4√3 − 2π/3
E.
4 + 4π/3