Question

The area of the circle is 144 pi m2. what is the diameter

Answer 1

24m

Step-by-step explanation:

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

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

The radius of the circle is 12m.

Therefore:

`\begin{gathered} \text{Diameter}=2*\text{Radius} \\ =2*12 \\ =24m \end{gathered}`

The diameter ​of the circle is 24m.