Solution:
Given:
[tex]A=508\text{ square units}[/tex]Using the area of a circle,
[tex]A=\pi r^2[/tex]Hence,
[tex]\begin{gathered} 508=\pi\times r^2 \\ \frac{508}{\pi}=r^2 \\ r=\sqrt{\frac{508}{\pi}} \\ r=12.716 \\ r\approx12.72 \end{gathered}[/tex]Therefore, the radius is approximately 12.72 units