Question 25
In the figure shown, $\overline{US}$ and $\overline{UT}$ are line segments each of length $2,$ and $m\angle TUS = 60^\circ.$
Arcs $\overset{\large\frown}{TR}$ and $\overset{\large\frown}{SR}$ are each one-sixth of a circle with radius $2.$ What is the area of the region shown?
Arcs $\overset{\large\frown}{TR}$ and $\overset{\large\frown}{SR}$ are each one-sixth of a circle with radius $2.$ What is the area of the region shown?