Respuesta :

Answer:

24m

Explanation:

For a circle with a radius, r, the area:

[tex]\begin{gathered} A=\pi r^2 \\ \implies\pi r^2=144\pi \\ \text{Divide both sides by }\pi \\ \frac{\pi r^2}{\pi}=\frac{144\pi}{\pi} \\ r^2=144 \\ \text{Take the square root of both sides} \\ r^{}=\sqrt[]{144} \\ r=12m \end{gathered}[/tex]

The radius of the circle is 12m.

Therefore:

[tex]\begin{gathered} \text{Diameter}=2\times\text{Radius} \\ =2\times12 \\ =24m \end{gathered}[/tex]

The diameter ​of the circle is 24m.