Respuesta :

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.