document.write( "Question 79578: Three circles with radii 6 are tangent to each other. Find the area of the region enclosed between them. Please provide a diagram. \n" ); document.write( "

Algebra.Com's Answer #57268 by scott8148(6628) $\"\"$ $\"About$

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three lines connecting the centers of the three circles form an equilateral triangle with side 12\r
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\n" ); document.write( "\n" ); document.write( "the three \"slice of pie\" shaped sections in the corners of the triangle are each 1/6 of a circle\r
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\n" ); document.write( "\n" ); document.write( "so the area of the \"between\" region is just the difference between the area of the triangle and 1/2 of a circle\r
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\n" ); document.write( "\n" ); document.write( " $\"area=%281%2F2%29b%2Ah-%281%2F2%29pi%2Ar%5E2\"$ ... $\"a=%281%2F2%2912%2A6%2A+sqrt%283%29-%281%2F2%29pi%2A6%5E2\"$ ... $\"a=36%2Asqrt%283%29-18%2Api\"$ \n" ); document.write( "

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