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Area of a Hexagon Circumscribed About a Circle

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June 13, 2009
geometry

Problem Statement

The area of a circle inscribed in a regular hexagon is 100π 100\pi. The area of hexagon is: <spanclass=′latex−bold′>(A)</span> 600<spanclass=′latex−bold′>(B)</span> 300<spanclass=′latex−bold′>(C)</span> 2002<spanclass=′latex−bold′>(D)</span> 2003<spanclass=′latex−bold′>(E)</span> 1205 <span class='latex-bold'>(A)</span>\ 600\qquad <span class='latex-bold'>(B)</span>\ 300\qquad <span class='latex-bold'>(C)</span>\ 200\sqrt{2}\qquad <span class='latex-bold'>(D)</span>\ 200\sqrt{3}\qquad <span class='latex-bold'>(E)</span>\ 120\sqrt{5}
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