Question

How do you find diameter of a circle with area?

Answer 1

`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))`