document.write( "Question 294843: The radius of a circle is 1 meter
\n" ); document.write( "longer than the radius of another circle. If their areas differ
\n" ); document.write( "by 5 (pie) square meters, then what is the radius of each?
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Algebra.Com's Answer #212573 by craigt(10)\"\" \"About 
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\"a=%28pi%29r%5E2\"
\n" ); document.write( "radius(smaller)=x
\n" ); document.write( "radius(Larger)=x+1\r
\n" ); document.write( "\n" ); document.write( "\"a%28smaller%29+=+%28pi%29x%5E2\"
\n" ); document.write( "\"a%28larger%29+=+%28pi%29%28x%2B1%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"a%28larger%29+-+a%28smaller%29+=+5%28pi%29m%5E2\"\r
\n" ); document.write( "\n" ); document.write( "Substitute the area equations from above:
\n" ); document.write( "\"%28pi%29%28x%2B1%29%5E2+-+%28pi%29x%5E2+=+5%28pi%29\"
\n" ); document.write( "Divide by pi:
\n" ); document.write( "\"%28x%2B1%29%5E2-x%5E2=5\"
\n" ); document.write( "\"%28x%5E2%2B2x%2B1%29-x%5E2=5\"
\n" ); document.write( "\"2x%2B1=5\", \"2x=4\", \"x=2\"
\n" ); document.write( "Substitute 2 into the two radii equations above:
\n" ); document.write( "radius(smaller) = 2, radius(larger)=2+1=3
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