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:

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

Now we divide by pi

Now we take square root on both sides:

Simplifying:
![2\sqrt[]{(A)/(\pi)}=D](https://img.qammunity.org/2023/formulas/mathematics/college/f9a75xj3lhcz9xxsr36126v0q2ybhy43hc.png)
Replacing the value for the area:
![2\sqrt[]{(\pi)/(\pi)}=D](https://img.qammunity.org/2023/formulas/mathematics/college/96tamkwzsvwg5zz5f1uq36npgqfxa9xcjm.png)
Simplifying:
