document.write( "Question 366921: The sum of the radii of two circles is 6 cm. If the radius of one of the circles is x cm, form an equation for A, the sum of the areas of the two circles.\r
\n" ); document.write( "\n" ); document.write( "If the value of A is 20π;, calculate the radius of each circle. \n" ); document.write( "
Algebra.Com's Answer #261649 by mananth(16946)\"\" \"About 
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The sum of the radii of two circles is 6 cm. If the radius of one of the circles is x cm, form an equation for A, the sum of the areas of the two circles.
\n" ); document.write( "radius = x
\n" ); document.write( "Area = pi*x^2
\n" ); document.write( "other radius = 6-x
\n" ); document.write( "area = pi*(6-x)^2
\n" ); document.write( "..
\n" ); document.write( "A= pix^2+pi(6-x)^2
\n" ); document.write( "A= pi(x^2+(6-x)^2)
\n" ); document.write( "A= pi(x^2+36-12x+x^2)
\n" ); document.write( "A=pi(2x^2-12x+36)
\n" ); document.write( "A=2pi(x^2-6x+18)
\n" ); document.write( ".........
\n" ); document.write( "20pi =2pi(x^2-6x+18)
\n" ); document.write( "/2pi
\n" ); document.write( "10=(x^2-6x+18)
\n" ); document.write( "x^2-6x+8=0
\n" ); document.write( "(x-4)(x-2)=0
\n" ); document.write( "x= 2 OR 4
\n" ); document.write( "..
\n" ); document.write( "2 & 4 are the radii
\n" ); document.write( "...
\n" ); document.write( "m.ananth@hotmail.ca\r
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