document.write( "Question 1062803: When the radius of a circle is increased by two inches, its area is increased by 24 pi inches squared. What is the radius of the larger circle? \n" ); document.write( "
Algebra.Com's Answer #677800 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 1) area(A) = pi * radius(r)^2 \n" ); document.write( ": \n" ); document.write( "2) A +(24*pi) = pi * (r+2)^2 \n" ); document.write( ": \n" ); document.write( "substitute for A in equation 2 \n" ); document.write( ": \n" ); document.write( "(pi * r^2) +(24*pi) = pi * (r+2)^2 \n" ); document.write( ": \n" ); document.write( "divide both sides of = by pi \n" ); document.write( ": \n" ); document.write( "r^2 + 24 = r^2 +4r +4 \n" ); document.write( ": \n" ); document.write( "4r = 20 \n" ); document.write( ": \n" ); document.write( "r = 5 \n" ); document.write( ": \n" ); document.write( "************************************************* \n" ); document.write( "The radius of the larger circle is 5+2 = 7 inches \n" ); document.write( "************************************************* \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |