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

AMC 8 2017 Problem 25

AMC8 2017 年第 25 题

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In the figure shown, \overlineUS and \overlineUT are line segments each of length 2, and m\angle TUS = 60^\circ. Arcs \overarcTR and \overarcSR are each one-sixth of a circle with radius 2. What is the area of the region shown?

如下图所示，

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