document.write( "Question 829937: COMPARING AREAS
\n" ); document.write( "a wire 360in long is cut into two pieces. one piece is formed into a square and the other is formed into a circle. if the two figures have the same area, what are the lengths of the two pieces of wire(to the nearest tenth of an inch) \n" ); document.write( "

Algebra.Com's Answer #500226 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "The area of the square is \r\n" );
document.write( "The area of the circle is \r\n" );
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document.write( "The perimeter of the square is \r\n" );
document.write( "The circumference of the circle is \r\n" );
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document.write( "So  \r\n" );
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document.write( "So  \r\n" );
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document.write( "That equation can be divided through by 2, so we have\r\n" );
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document.write( "So we have this system of two equations in two unknowns:\r\n" );
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document.write( "Solve the bottom equation for one of the letters and substitute\r\n" );
document.write( "it in the first equation, getting a quadratic.\r\n" );
document.write( "You'll get two solutions for (s,r):\r\n" );
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document.write( "First solution:\r\n" );
document.write( ",      \r\n" );
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document.write( "Second solution\r\n" );
document.write( " ,     \r\n" );
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document.write( "We ignore the second solution \r\n" );
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document.write( "The perimeter of the square is \r\n" );
document.write( "The circumference of the circle is \r\n" );
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document.write( "As a check add those together and you get 360.\r\n" );
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document.write( "Answers rounded to the nearest tenth of an inch: \r\n" );
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document.write( "Length of piece formed into a square = 190.9 inches\r\n" );
document.write( "Length of piece formed into a circle = 169.1 inches \r\n" );
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document.write( "Edwin

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