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Source: AMC 12A #11

November 11, 2021
AMCAMC 12AMC 12 A

Problem Statement

Consider two concentric circles of radius 1717 and 19.19. The larger circle has a chord, half of which lies inside the smaller circle. What is the length of the chord in the larger circle?
<spanclass=′latex−bold′>(A)</span> 122<spanclass=′latex−bold′>(B)</span> 103<spanclass=′latex−bold′>(C)</span> 17⋅19<spanclass=′latex−bold′>(D)</span> 18<spanclass=′latex−bold′>(E)</span> 86<span class='latex-bold'>(A)</span>\ 12\sqrt{2} \qquad<span class='latex-bold'>(B)</span>\ 10\sqrt{3} \qquad<span class='latex-bold'>(C)</span>\ \sqrt{17 \cdot 19} \qquad<span class='latex-bold'>(D)</span>\ 18 \qquad<span class='latex-bold'>(E)</span>\ 8\sqrt{6}
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