How do you find diameter of a circle with area?

1 Answer
Mark Keanu James E. Exconde
Jan 1, 2016

D=(2)(sqrt(A/\pi))

Explanation:

It is known that the area of a circle is A=\pir^2. If the area of the circle is given, the radius r, can be calculated and that is through literal transposition.

A=\pir^2
=>r^2=A/\pi
=>r=sqrt(A/\pi) |......(1)

Also, the radius of a circle is half the diameter so therefore, 2r=D|......(2)

Substituting equation (1) into equation (2),
D=(2)(sqrt(A/\pi))

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