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:
[tex]A=\frac{D^2\pi^{}}{4}[/tex]
Now we solve for the diameter "D". First by multiplying both sides of the equation by 4
[tex]4A=D^2\pi[/tex]
Now we divide by pi
[tex]\frac{4A}{\pi}=D^2[/tex]
Now we take square root on both sides:
[tex]\sqrt{\frac{4A}{\pi}}=D[/tex]
Simplifying:
[tex]2\sqrt[]{\frac{A}{\pi}}=D[/tex]
Replacing the value for the area:
[tex]2\sqrt[]{\frac{\pi}{\pi}}=D[/tex]
Simplifying:
[tex]D=2\text{inch}[/tex]
