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

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Jun 21, 2016

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Use the formula for the area of a circle:

#A=pir^2#

Here, the area is

#16pi=pir^2#

Divide both sides by

#16=r^2#

Take the square root of both sides:

#sqrt16=sqrt(r^2)#

#4=r#

Since the radius of the circle is

#d=4xx2=8#

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