Respuesta :

[tex]A = \pi r^2 \\ 676\pi = \pi r^2 \\ r = \sqrt{676} = 26[/tex]

Therefore, the diameter is twice of that:
52 centimeters.

The diameter of the circle is 52 units.

What is the diameter of the circle?

We know that for a circle of diameter D, the area is:

A = π*(D/2)^2

In this case, we know that the area is 676π, then we have:

676π = π*(D/2)^2

Now we can solve this for D.

676 = (D/2)^2

2*√676 = D = 52

So the diameter of the circle is 52 units.

If you want to learn more about circles, you can read:

https://brainly.com/question/14283575