The area formula for a circle is given by
[tex]A=\pi\cdot r^2[/tex]
where A denotes the area, r the radius and Pi is equal to 3.1416. Then, we need to find the radius, which is given as
[tex]r=\sqrt[]{\frac{A}{\pi}}ft[/tex]
By substituting the given values into this result, we have
[tex]\begin{gathered} r=\sqrt[]{\frac{100\pi}{\pi}}ft \\ r=10ft \end{gathered}[/tex]
Since the diameter, d, is twice the radius, we get
[tex]\begin{gathered} d=2\cdot r \\ \text{then} \\ d=2\cdot10ft \end{gathered}[/tex]
Therefore, the diameter measures 20 feet,
