We know that
• The area of the circle is 144pi square meters.
We need to use the following formula
[tex]A=\pi r^2[/tex]Replacing the given information, we have
[tex]144\pi=\pi r^2[/tex]Now, we solve for r
[tex]r^2=\frac{144\pi}{\pi}=144\rightarrow r=\sqrt{144}=12[/tex]This means the radius is 12 meters, now we need to find the diameter with the formula
[tex]d=2r\rightarrow d=2(12)=24[/tex]