document.write( "Question 1209087: A regular hexagon is inscribed in a circle. Find the ratio of the area of the hexagon to the area of the circle.
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Algebra.Com's Answer #847659 by ikleyn(52800) $\"\"$ $\"About$

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document.write( "Let r be the radius of the circle.\r\n" );
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document.write( "The area of the circle is  .\r\n" );
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document.write( "The regular hexagon consists of 6 equilateral triangles with the side length of r.\r\n" );
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document.write( "The area of each such a triangle is  ;\r\n" );
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document.write( "hence, the area of the regular hexagon is   = .\r\n" );
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document.write( "Thus the ratio of the area of the hexagon to that of the circle is\r\n" );
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document.write( "     = 0.827 (rounded).    ANSWER\r\n" );
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