Since the Olympic wrestling arena has a circular shape, we can find the area using the following formula:
[tex]\begin{gathered} A=\pi r^2 \\ \end{gathered}[/tex]Where:
[tex]r=\frac{diameter}{2}=\frac{29.5}{2}=14.75ft[/tex]Therefore:
[tex]\begin{gathered} A=\pi(14.75)^2 \\ A\approx683.49ft^2 \end{gathered}[/tex]Answer:
683.49 ft²