# What is the circumference of a circle whose area is #16pi#?

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To find the circumference of a circle when its area is given, you can use the formula for the area of a circle, A = πr^2, where A represents the area and r represents the radius. Given that the area is 16π, we can set up the equation as follows:

16π = πr^2

Solving for r:

r^2 = 16

r = 4

Now that we have the radius, we can use the formula for the circumference of a circle:

C = 2πr

Substituting the value of r:

C = 2π(4)

C = 8π

Therefore, the circumference of the circle is 8π units.

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