GAUSS8 2009 Problem 23

In the diagram, the circle is inscribed in the square. This means that the circle and the square share points S,T,U, and V, and the width of the square is exactly equal to the diameter of the circle. Rounded to the nearest tenth, what percentage of line segment XY is outside the circle?

Image

Answer Choices
A. 29.3
B. 28.3
C. 33.3
D. 25.0
E. 16.7