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CEMC Gauss (Grade 8), 2009

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

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?

(A) $29.3$ (B) $28.3$ (C) $33.3$ (D) $25.0$ (E) $16.7$

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