Question

A = 1 4 π d 2 what is the formula to calculate the diameter of a circle

Answer 1

Answer:

$D=2\sqrt{\frac{A}{\pi}}$

Step-by-step explanation:

we know that

The area of the circle is equal to

$A=\frac{1}{4}\pi D^{2}$

where

D is the diameter of the circle

Solve for D

That means-----> Isolate the variable D

Multiply both sides by 4 to remove the fraction

$4A=\pi D^{2}$

Divide both sides by π

$\frac{4A}{\pi}=D^2$

square root both sides

$\sqrt{\frac{4A}{\pi}}=D$

Rewrite

$D=\sqrt{\frac{4A}{\pi}}$

Simplify

$D=2\sqrt{\frac{A}{\pi}}$