If the area of a circle is 36 pi what would the circumference of the circle be?

12π

Step-by-step explanation: To find the circumference of the circle, we need to first find the radius of the circle.

To find the radius of the circle, remember that the formula for the area of a circle is πr² and since we're given that the area of our circle is 36π, we can set up the equation 36π = πr².

To solve for r, we first divide both sides of the equation by π.

On the left side, the π's cancel and we're left with 36 and on the right side, the π's cancel and we're left with r².

Next, we take the square root of both sides to get 6 = r.

So the radius of our circle is 6.

Now to find the circumference, remember that the formula for the circumference of a circle is 2πr so we have 2π(6) or 12π.

So the circumference of the circle is 12π.

I have also attached all my work in the image below so you can see the exact steps along with my explanation above.

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step-by-step explanation: