Answer:
[tex]113.1\ \text{feet}^2[/tex]
Step-by-step explanation:
[tex]r[/tex] = Radius of the circle in the gymnasium = [tex]6\ \text{feet}[/tex]
Area of a circle is given by
[tex]A=\pi r^2[/tex]
[tex]\Rightarrow A=\pi\times 6^2[/tex]
[tex]\Rightarrow A=113.097\approx 113.1\ \text{feet}^2[/tex]
The circle for the game in the gymnasium has an area of [tex]113.1\ \text{feet}^2[/tex].
