<h2>
Hello!</h2>
The answer is:
The equation of the given circle is:

<h2>
Why?</h2>
The equation of a circle is given by the following equation:

We are given the center point (-2,0) and the area of the circle.
The area of a circle is given by the formula:


So, the radius of the circle is 8 units.
Therefore,
We are given a circle where:

Then, substituting into the circle equation, we have:


Hence, the simplified equation of the circle is:

Have a nice day!