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Inscribing a Hexagon in a Circle

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February 6, 2009
geometry

Problem Statement

A regular hexagon is inscribed in a circle of radius 10 10 inches. Its area is: <spanclass=′latex−bold′>(A)</span> 1503 sq. in.<spanclass=′latex−bold′>(B)</span> 150 sq. in.<spanclass=′latex−bold′>(C)</span> 253 sq. in.<spanclass=′latex−bold′>(D)</span> 600 sq. in.<spanclass=′latex−bold′>(E)</span> 3003 sq. in. <span class='latex-bold'>(A)</span>\ 150\sqrt{3} \text{ sq. in.} \qquad <span class='latex-bold'>(B)</span>\ \text{150 sq. in.} \qquad <span class='latex-bold'>(C)</span>\ 25\sqrt{3} \text{ sq. in.} \qquad <span class='latex-bold'>(D)</span>\ \text{600 sq. in.} \qquad <span class='latex-bold'>(E)</span>\ 300\sqrt{3} \text{ sq. in.}
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