1 Answer

Wadiya · Answer 1 · 2021-03-01T04:36:48+0000

Answer:

$D=2\sqrt{(A)/(\pi)}$

Explanation:

we know that

The area of the circle is equal to

$A=(1)/(4)\pi D^(2)$

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

$(4A)/(\pi)=D^2$

square root both sides

$\sqrt{(4A)/(\pi)}=D$

Rewrite

$D=\sqrt{(4A)/(\pi)}$

Simplify

$D=2\sqrt{(A)/(\pi)}$

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