Answer:
Step-by-step explanation:
Remember that
Area of Circle = [tex]\pi r^2[/tex]
[tex]\pi = pi \\r = radius[/tex]
They told us that for this circle, the area is [tex]144\pi m^2[/tex]
If you put it back into the formula for area of a circle we get:
Area of Circle = [tex]\pi r^2[/tex]
[tex]144\pi = \pi r^2[/tex]
Divide both sides by [tex]\pi[/tex].
144 = [tex]r^2[/tex]
Now we want to solve for r (r = radius).
You need to square root each side
[tex]\sqrt{144} = \sqrt{r^2}[/tex]
[tex]12 = r[/tex]
So now we know the radius, [tex]r = 12[/tex] metres
Also remember that
Diameter = [tex]2r[/tex]
So,
Diameter = 2 times 12 = 24 metres
