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P21 [Geometry] - Turkish NMO 1st Round - 2005

Source:

October 26, 2013
geometrycircumcircle

Problem Statement

What is the radius of the circle passing through the center of the square ABCDABCD with side length 11, its corner AA, and midpoint of its side [BC][BC]?
<spanclass=′latex−bold′>(A)</span> 34<spanclass=′latex−bold′>(B)</span> 54<spanclass=′latex−bold′>(C)</span> 2<spanclass=′latex−bold′>(D)</span> 3<spanclass=′latex−bold′>(E)</span> 104 <span class='latex-bold'>(A)</span>\ \dfrac {\sqrt 3}4 \qquad<span class='latex-bold'>(B)</span>\ \dfrac {\sqrt 5}4 \qquad<span class='latex-bold'>(C)</span>\ \sqrt 2 \qquad<span class='latex-bold'>(D)</span>\ \sqrt 3 \qquad<span class='latex-bold'>(E)</span>\ \dfrac {\sqrt {10}}4
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