How would I find the diameter of a circle when area is given?

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How would I find the diameter of a circle when area is given?

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Answer 1 · 2015-12-24T07:32:03

#d = 2sqrt(A/pi)#

Explanation:

The area #A# of a circle is given by #A = pi r^2# where #r# is the radius of the circle. But the radius is half the diameter, so if the diameter of the circle is #d#, we have

#A = pi(d/2)^2#

#=> A= pid^2/4#

#=>4/piA = d^2#

#=> sqrt(4/piA) = d#

Thus we have the diameter #d# as

#d = 2sqrt(A/pi)#

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How would I find the diameter of a circle when area is given?

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