Mathematics: Acircle has an area of 324 pi feet squared. what is the circumference?

Acircle has an area of 324 pi feet squared. what - id3244439796, jackolantern1437

puppylove899

14.01.2022

Circumference of circle is 36π feet.

Step-by-step explanation:

Given : area of circle is 324π feet²

We have to find the circumference of the given circle.

Consider Area of circle is 324π feet²

We know, Area of circle = $\pi r^2$

Thus, $324\pi=\pi r^2$

Simplify for r , we have,

324=r^2

Taking square root both side, we have,

$r=\sqrt{324}=18$

Circumference of circle is given by $2\pi r$

Substitute, we get,

$C=2\pi r$

$C=2\pi (18)=36\pi$

Thus, Circumference of circle is 36π feet.

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