document.write( "Question 1199144: calculate the area of the shaded region enclosed by three identical circles tangent to each other. The radius of the circles is 5 inches \n" ); document.write( "
Algebra.Com's Answer #832860 by ikleyn(52803)\"\" \"About 
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document.write( "The centers of the circles form an equilateral triangle with the side a = 5+5 = 10 inches.\r\n" );
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document.write( "The area of this triangle is  A = \"a%5E2%2A%28sqrt%283%29%2F4%29\" = \"10%5E2%2Asqrt%283%29%2F4%29\".\r\n" );
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document.write( "Each circular sector of interest has the area of  \"1%2F6\"  of the area of the circle of radius 10 inches.\r\n" );
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document.write( "So we need to subtract  \"3%2A%281%2F6%29%2Api%2Ar%5E2\" = \"%281%2F2%29%2A3.14%2A%28sqrt%283%29%2F4%29\" from A:\r\n" );
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document.write( "    the area of interest is  \"a%5E2%2A%28sqrt%283%29%2F4%29\" - \"%281%2F2%29%2Api%2Ar%5E2\"  (exact formula).\r\n" );
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document.write( "Substitute the numbers and calculate using your calculator.\r\n" );
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