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The area of a circle is pi square inches. What is the diameter?

The area of a circle is pi square inches. What is the diameter?-example-1
User Jofftiquez
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We are given the area of a circle and we are asked to find its diameter. To do that, we need to remember the formula for the area of a circle:


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

Now we solve for the diameter "D". First by multiplying both sides of the equation by 4


4A=D^2\pi

Now we divide by pi


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

Now we take square root on both sides:


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

Simplifying:


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

Replacing the value for the area:


2\sqrt[]{(\pi)/(\pi)}=D

Simplifying:


D=2\text{inch}

User Zhu
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