Question

what is the circumference of a circle when the area is 64pi mi^2

Answer 1

Answer:

16(pi)

Step-by-step explanation:

If the area of a circle is 64 pi, what is its circumference?

Area = (pi)r^2

Substitute 64(pi) in place of Area

64(pi)=(pi)r^2

r=8

Circumference = 2(pi)r

Substitute 8 in place of r to get:

=2(pi)8

Circumference =16(pi)

Answer 2

$16\pi m$

The circumference would be the arc length of the circle.

Area of a circle is equal to $\boldsymbol{\pi r^2}$ and circumference is equal to $\boldsymbol{2\pi r}$ where $r$ denotes radius of a circle.

Area of a circle $=64\pi m^2$

                   $\pi r^2=64\pi m^2$

                      $r^2=64m^2$

                       $r=8m$

Circumference of a circle $=2\pi (8m)$

                                         $=16\pi m$

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