document.write( "Question 371043: A circular pool is surrounded by a brick walkway 3 m wide. Find the radius of the pool if the area of the walkway is 198 m^2. \n" ); document.write( "
Algebra.Com's Answer #264352 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the radius of the pool be x \n" ); document.write( "radius of pool + walkway = x+3 \n" ); document.write( ".. \n" ); document.write( "area of pool + walkway = pi*(x+3)^2 \n" ); document.write( "area of pool = pi*x^2 \n" ); document.write( ".. \n" ); document.write( "area of walkway = 198 m^2 \n" ); document.write( "pi(x+3)^2-pi*x^2= 198 \n" ); document.write( "/pi \n" ); document.write( "(x+3)^2-x^2=198/pi \n" ); document.write( "x^2+6x+9-x^2=198/pi \n" ); document.write( "6x+9 = 63 \n" ); document.write( "-9 -9 \n" ); document.write( "6x=63-9 \n" ); document.write( "6x=54 \n" ); document.write( "x= 9m radius of the pool\r \n" ); document.write( "\n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |