document.write( "Question 1071415: Three circles of radius 6 are drawn with centres C1, C2 and C3 as shown. If each of the 3 circles has its centre on the other 2 circle, calculate the area covered by the 3 circles.\r
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Algebra.Com's Answer #686402 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "Connect the centers of the circles by straight line segments.\r\n" );
document.write( "You will obtain an equilateral triangle with the side length of 6 units.\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( "We need to add to it the areas of the three segments of the circle.\r\n" );
document.write( "Each segment of the circle area is 60 degree sector area minus the area of the equilateral triangle with the side length of 6 units.\r\n" );
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document.write( "So, the area of each sector is \r\n" );
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document.write( " =  -  = .\r\n" );
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document.write( "Thus the area under the question is \r\n" );
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document.write( "S =  +  =  =  =  = 25.343 square units (approximately).\r\n" );
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document.write( "Answer.  The area under the question is  25.343 square units (approximately).\r\n" );
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