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Source: 12B #9

November 17, 2021
geometryAMCAMC 12AMC 12 B

Problem Statement

Triangle ABCABC is equilateral with side length 66. Suppose that OO is the center of the inscribed circle of this triangle. What is the area of the circle passing through AA, OO, and CC?
<spanclass=′latex−bold′>(A)</span> 9π<spanclass=′latex−bold′>(B)</span> 12π<spanclass=′latex−bold′>(C)</span> 18π<spanclass=′latex−bold′>(D)</span> 24π<spanclass=′latex−bold′>(E)</span> 27π<span class='latex-bold'>(A)</span>\ 9\pi \qquad<span class='latex-bold'>(B)</span>\ 12\pi \qquad<span class='latex-bold'>(C)</span>\ 18\pi \qquad<span class='latex-bold'>(D)</span>\ 24\pi \qquad<span class='latex-bold'>(E)</span>\ 27\pi
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