document.write( "Question 129098: What is the ratio of the area of an equilateral triangle to that of a regular hexagon inscribed in the same circle? \n" ); document.write( "

Algebra.Com's Answer #94551 by scott8148(6628) $\"\"$ $\"About$

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the radius of the circle is 2/3 of the distance from the vertex of the triangle to the opposite side (height)\r
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\n" ); document.write( "\n" ); document.write( "so the height of the triangle is 1.5r __ area=(1/2)((r)sqrt(3))(1.5r)\r
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\n" ); document.write( "\n" ); document.write( "the hexagon is made up of six equilateral triangles whose sides are equal to the radius of the circle
\n" ); document.write( "__ area=6(1/2)(r)((r/2)sqrt(3)) \n" ); document.write( "

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