Hi there! Answer: r = 9 feet
We can find the area of a circle by using the following formula:
Area = pi × radius^2
A = pi × r^2
[tex]a = \pi {r}^{2} [/tex]
In this particular question, we have the following data:
The area (A) is 254.34 square feet.
[tex]a = 254 . 34[/tex]
Pi equals 3.14
[tex]\pi = 3.14[/tex]
Now let's fill in the given formula.
[tex]254.34 = 3.14 \times r {}^{2} [/tex]
Divide both sides by pi (in other words: divide by 3.14).
[tex] {r}^{2} = 81[/tex]
Now take the square root of both sides of the equation. We only need to find the positive solution of this equation, because a radius cannot be negative.
[tex]r = \sqrt{81} = 9[/tex]
Therefore, the radius is 9 feet.
~ Hope this helps you!