document.write( "Question 1014341: Find the perimeter of square which is inscribed in a circle which is also inscribed in another square whose diagonal is 20cm. \n" ); document.write( "
Algebra.Com's Answer #630655 by ikleyn(52790)\"\" \"About 
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\n" ); document.write( "Find the perimeter of square which is inscribed in a circle which is also inscribed in another square whose diagonal is 20cm.
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document.write( "Let us start with the square whose diagonal is 20 cm.\r\n" );
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document.write( "Its side measure is \"20%2Fsqrt%282%29\".\r\n" );
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document.write( "I will not explain it. It is clear without explanations, isn't it?\r\n" );
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document.write( "Then the diameter of the circle inscribed into this square is \"20%2Fsqrt%282%29\" cm. Correct ?\r\n" );
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document.write( "Now consider the square inscribed to the circle whose diameter is \"20%2Fsqrt%282%29\" cm.\r\n" );
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document.write( "The diagonal of this square is equal to the diameter \"20%2Fsqrt%282%29\" cm.\r\n" );
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document.write( "Hence, the side of this square is \"%2820%2Fsqrt%282%29%29%2A%28sqrt%282%29%2F2%29\" cm = 10 cm.\r\n" );
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