document.write( "Question 837955: The area of a circle is given by the formula A=piR^2 where r is the radius. If increasing the radius of a circle by 1 inch gives the resulting circle an area of 100 times pi square inches, what is the radius of the original circle
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Algebra.Com's Answer #504798 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The area of a circle is given by the formula A=piR^2 where r is the radius. If increasing the radius of a circle by 1 inch gives the resulting circle an area of 100 times pi square inches, what is the radius of the original circle \n" ); document.write( "----------- \n" ); document.write( "Increased Area = pi(R+1)^2 = pi(R^2+2R+1) = piR^2 + pi(2R+1) \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "2R+1 = 100 \n" ); document.write( "2R = 99 \n" ); document.write( "R = 49.5 (original radius) \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |