Respuesta :

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]

Therefore, the diameter is 24 meters long.