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  • 16-05-2018
  • Mathematics
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If the area of a circle is 81pi square feet, find its circumference.

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gmany
gmany gmany
  • 16-05-2018
The formula of the area of the circle:

[tex]A_O=\pi r^2[/tex]

The formula of the circumference of the circle:

[tex]C_O=2\pi r[/tex]

We have:

[tex]A_O=81\pi\ ft.^2[/tex]

therefore:

[tex]\pi r^2=81\pi\ \ \ |:\pi\\\\r^2=81\to r=\sqrt{81}\to r=9\ ft.[/tex]

substitute:

[tex]C_O=2\pi\cdot9=18\pi\ ft.^2[/tex]
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