Respuesta :

We have first the formula of the circumference of a circle

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

In order to know the area we need to know the radius of the circle, it can be obtained using the formula above and the next information.

C=18pi

r is the radius

[tex]18\pi=2\pi r[/tex]

then we isolate the r

[tex]\begin{gathered} r=\frac{18\pi}{2\pi} \\ r=9 \end{gathered}[/tex]

the radius is 9 ft

then we can calculate the area using the next formula

[tex]A=\pi r^2[/tex]

we substitute the value of the radius

[tex]\begin{gathered} A=\pi(9)^2 \\ A=81\pi ft^2 \\ A=254.47ft^2 \end{gathered}[/tex]