Answer:
8,5 feet
Step-by-step explanation:
The equation of the form
x² + y² = (r)²
Is the equation of the circumference
We have for the pool:
x² + y² = 2500 ⇒ x² + y² = (50)²
And for the outside edge of the footpath
x² + y² = 3422,25 ⇒ x² + y² = (58,5)²
So we obtain the radius of each circumference
For the outside edge of the pool r₁ = 50 feet
For the outside edge of the footpath r₂ = 58,5 feet
Then the width of the footpath is 58,5 - 50 = 8,5 feet