document.write( "Question 891678: A piece of wire of length 36pi is cut into two unequal parts. Each part is then bent to form a circle. It is found that the total area of the two circle is 80pi. Find the difference in radius of two circles. \n" ); document.write( "

Algebra.Com's Answer #539995 by Fombitz(32388) $\"\"$ $\"About$

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Circumference:
\n" ); document.write( " $\"C%5B1%5D%2BC%5B2%5D=36pi\"$
\n" ); document.write( " $\"2pi%2AR%5B1%5D%2B2pi%2AR%5B2%5D=36pi\"$
\n" ); document.write( "1. $\"R%5B1%5D%2BR%5B2%5D=18\"$
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\n" ); document.write( "Area:
\n" ); document.write( " $\"pi%2AR%5B1%5D%5E2%2Bpi%2AR%5B2%5D%5E2=80pi\"$
\n" ); document.write( "2. $\"R%5B1%5D%5E2%2BR%5B2%5D%5E2=80\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"R%5B1%5D=18-R%5B2%5D\"$
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"%2818-R%5B2%5D%29%5E2%2BR%5B2%5D%5E2=80\"$
\n" ); document.write( " $\"324-36R%5B2%5D%2BR%5B2%5D%5E2%2BR%5B2%5D%5E2=80\"$
\n" ); document.write( " $\"2R%5B2%5D%5E2-36R%5B2%5D%2B244=0\"$
\n" ); document.write( " $\"R%5B2%5D%5E2-18R%5B2%5D%2B122=0\"$
\n" ); document.write( "Complete the square,
\n" ); document.write( " $\"R%5B2%5D%5E2-18R%5B2%5D%2B81%2B122=81\"$
\n" ); document.write( " $\"%28R%5B2%5D-9%29%5E2=-41\"$
\n" ); document.write( "There's a problem here. The solution will be a complex number and not a real number.
\n" ); document.write( "Check the problem setup and make sure your values are correct. \r
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