document.write( "Question 773471: If the radius of a circle is decreased by 2 meters, the area of the circle is decreased by 80 pie m squared. what is the radius of the original circle? \n" ); document.write( "
Algebra.Com's Answer #471587 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! If the radius of a circle is decreased by 2 meters, the area of the circle is decreased by 80 pie m squared. what is the radius of the original circle? \n" ); document.write( "*** \n" ); document.write( "let r=radius of original circle \n" ); document.write( "r-2=radius of circle decreased by 2 meters \n" ); document.write( "area of circle=π*radius^2 \n" ); document.write( "... \n" ); document.write( "πr^2-π(r-2)^2=80π \n" ); document.write( "π cancels out \n" ); document.write( "r^2-(r^2-4r+4)=80 \n" ); document.write( "r^2-r^2+4r-4=80 \n" ); document.write( "4r=84 \n" ); document.write( "r=21 \n" ); document.write( "radius of the original circle=21 meters \n" ); document.write( " |