document.write( "Question 274809: If the radius of a circular region were decreased by 20 percent, the area of the circular region would decrease by what percent?\r
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document.write( "A 16% b 20% c 36% d 44%
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Algebra.Com's Answer #200534 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! If the radius of a circular region were decreased by 20 percent, the area of the circular region would decrease by what percent? \r \n" ); document.write( "\n" ); document.write( "If R is the original radius then the area of the circle is pi*R^2\r \n" ); document.write( "\n" ); document.write( "If we decrease the radius by 20% the new radius is .8*R so the new area is: \n" ); document.write( "pi*(.8*R)^2 = pi*(.64*R^2).\r \n" ); document.write( "\n" ); document.write( "Compute the percent of the new to the old:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(pi*.64R^2)/(pi*R^2) = .64\r \n" ); document.write( "\n" ); document.write( "The decrease then is 100 - 64 = 36% \n" ); document.write( " |