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Eva8 [605]
3 years ago
7

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

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0

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}}

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