George has enough fencing to enclose 2400 square feet around a circular pool. If he builds a circular fence and he wants 12 foot walkway around the pool, what is the largest pool diameter possible?

2 answers

Area = πr^2

2400 = 3.14r^2

r^2 = 764

r = 27 2/3

Solve for r. d = 2r therefore d =

Assuming the walkway is completely around the pool and within the fence, largest pool diameter is d-24.
Area = πr^2

2400 = 3.14r^2

r^2 = 764

r = 27 2/3

Solve for r. d = 2r therefore d = 55 1/3

Assuming the walkway is completely around the pool and within the fence, largest pool diameter is d-24.