document.write( "Question 1163042: Hi
\n" ); document.write( "Need some help in solving this beauty. Circle A is shaded and lies inside circle B. The radius of B is 4 inches more than the radius of A. What is the radius of each if the unshaded area is.\r
\n" ); document.write( "\n" ); document.write( "Twice as much as the shaded area\r
\n" ); document.write( "\n" ); document.write( "28pi square inches more than the shaded area\r
\n" ); document.write( "\n" ); document.write( "16pi square inches more than twice as much as the shaded area.\r
\n" ); document.write( "\n" ); document.write( "Thanks
\n" ); document.write( "

Algebra.Com's Answer #786993 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Circle A is shaded and lies inside circle B. The radius of B is 4 inches more than the radius of A. What is the radius of each if the unstated [sic] unshaded area is.
\n" ); document.write( "Twice as much as the shaded area
\n" ); document.write( "---------------
\n" ); document.write( "a = radius of smaller circle
\n" ); document.write( "Area1 = pi*a^2
\n" ); document.write( "b = radius of larger circle = a+4
\n" ); document.write( "Area2 = pi*(a+4)^2
\n" ); document.write( "Unshaded area = Area2 - Area1 = 2*Area1
\n" ); document.write( "---> Area2 = 3*Area1
\n" ); document.write( "pi*(a+4)^2 = 3pi*a^2
\n" ); document.write( "a^2 + 8a + 4 = 3a^2
\n" ); document.write( "2a^2 - 8a - 4 = 0
\n" ); document.write( "a^2 - 4a - 2 = 0
\n" ); document.write( "Solve for a
\n" ); document.write( "etc\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "28pi square inches more than the shaded area
\n" ); document.write( "16pi square inches more than twice as much as the shaded area.
\n" ); document.write( "
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