# SOLUTION: 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.

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: 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.       Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 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. Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!let the radius of the pool be x radius of pool + walkway = x+3 .. area of pool + walkway = pi*(x+3)^2 area of pool = pi*x^2 .. area of walkway = 198 m^2 pi(x+3)^2-pi*x^2= 198 /pi (x+3)^2-x^2=198/pi x^2+6x+9-x^2=198/pi 6x+9 = 63 -9 -9 6x=63-9 6x=54 x= 9m radius of the pool ... m.ananth@hotmail.ca