Respuesta :

The formula used is: [tex]d = \frac{C}{ \pi }[/tex]

The diameter is 17.83 feet

Solution:

Given that,

Circumference of pool = C = 56 feet

To find: diameter (d)

The circumference of circle is given as:

[tex]C = 2 \pi r[/tex]

Where "r" is the radius of circle

We know, that diameter is twice the radius

[tex]d = 2r[/tex]

Thus the formula becomes,

[tex]C = \pi d[/tex]

Rearrange for "d"

[tex]d = \frac{C}{ \pi }[/tex]

Substituting the values we get,

[tex]d = \frac{56}{3.14} = 17.83[/tex]

Thus the diameter is 17.83 feet