document.write( "Question 1209479: Find the area of the shaded region in terms of r if each circle has radius r.\r
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Algebra.Com's Answer #848914 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Find the area of the shaded region in terms of r if each circle has radius r.\r
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document.write( "Consider the triangle, formed by the three centers of the circles.\r\n" );
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document.write( "This triangle is equilateral with the side length a = 2r.\r\n" );
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document.write( "The area of this triangle is  \r\n" );
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document.write( "     =  =  = .\r\n" );
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document.write( "To get the shaded area, we should subtract the areas of 3 sectors of the radius r,\r\n" );
document.write( "each with the central angle of 60 degrees. These three segments together have the area ,\r\n" );
document.write( "one half of the area of one circle.\r\n" );
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document.write( "So, the shaded are is\r\n" );
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document.write( "     - ,    ANSWER\r\n" );
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document.write( "in terms of \"r\".\r\n" );
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