Step-by-step explanation:
The formula of the area of a circle is A = πr² where A is the area and r is the radius of the circle.
To find the radius, you can follow the steps below:
Step 1) Substitute the value of the area (given) in the equation.
[tex]\begin{gathered} A=\pi\cdot r^2 \\ 9409\pi=\pi\cdot r^2 \end{gathered}[/tex]
Step 2) Isolate r and solve the square root.
[tex]\begin{gathered} r^2=\frac{9404\pi}{\pi} \\ r^2=9404 \\ \sqrt[]{r^2}=\sqrt[]{9404} \\ r=97 \end{gathered}[/tex]
Answer: The length of the radius is 97 centimeters.
