document.write( "Question 869347: two circles have circumferences that add up to 12(pie) centimeters, and areas that add up to 20(pie) sqaure centimeters. Find the radius of each circle. \n" ); document.write( "
Algebra.Com's Answer #524147 by lwsshak3(11628)\"\" \"About 
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two circles have circumferences that add up to 12(pie) centimeters, and areas that add up to 20(pie) square centimeters. Find the radius of each circle.
\n" ); document.write( "let x=radius of larger 1st circle
\n" ); document.write( "let y=radius of smaller 2nd circle
\n" ); document.write( "circumference of 1st circle=2πx
\n" ); document.write( "circumference of 1st circle=2πy
\n" ); document.write( "2πx+2πy=12π
\n" ); document.write( "x+y=6
\n" ); document.write( "y=6-x
\n" ); document.write( "..
\n" ); document.write( "area of 1st circle=πx^2
\n" ); document.write( "area of 2nd circle=πy^2=π(x-6)^2
\n" ); document.write( "πx^2+πy^2=20π
\n" ); document.write( "x^2+y^2=20
\n" ); document.write( "x^2+(6-x)^2=20
\n" ); document.write( "x^2+36-12x+x^2=20
\n" ); document.write( "2x^2-12x+16=0
\n" ); document.write( "x^2-6x+8=0
\n" ); document.write( "(x-4)(x-2)=0
\n" ); document.write( "x=4
\n" ); document.write( "or
\n" ); document.write( "x=2
\n" ); document.write( "radius of larger 1st circle=4 cm
\n" ); document.write( "radius of smaller 2nd circle=2 cm\r
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