Find the area of a circle with the circumference 18(pi)

Answer:
D 81 pi units^2
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
18 pi = 2 * pi *r
Divide each side by 2 * pi
18 pi / (2 pi) = 2 pi * r/ (2 pi)
9 = r
Now we can find the area. Area is given by
A = pi r^2
A = pi * 9^2
A = 81 pi units^2
Circumference = [tex]2\pi r[/tex]
[tex]\frac{18\pi}{2\pi} = \frac{2\pi r }{2\pi }[/tex]
18 ÷ 2 = 9
r = 9
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Area = [tex]\pi r^{2}[/tex]
= [tex]\pi (9)^{2}[/tex]
= 81[tex]\pi[/tex] units².