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A Hexagon and a Triangle in a Circle

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Author: Annie Fetter
Description: Geometry, difficulty level 2. A regular hexagon and an equilateral triangle are both inscribed in the same circle so that the hexagon and the triangle share three vertices. The radius of the circle is 10 units. What is the area of the region between the two polygons?
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Problem page: http://mathforum.org/geopow/solutions/19971017.geopow.html
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