Answer:
[tex]144\pi[/tex]
Step-by-step explanation:
Circumference = [tex]\pi d[/tex]
Diameter = [tex]2r[/tex]
Area of a circle = [tex]\pi r^2[/tex]
From our first equation, we can find our value for our diameter:
We do this by dividing [tex]24 \pi[/tex] by [tex]\pi[/tex] to get 24.
[tex]c=\pi d[/tex]
[tex]d=\frac{c}{\pi } = \frac{24\pi }{\pi } =24[/tex]
Using our second equation, we can find out the value for our radius:
[tex]d=2r[/tex]
[tex]r=\frac{d}{2} =\frac{24}{2} =12[/tex]
Now we have a value for our radius, we can use our third equation to find out our area:
[tex]A=\pi 12 ^2 = 144 \pi[/tex]
