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ANSWER

The diameter is 8 units.

EXPLANATION

A portion of the y-axis is serving as the diameter of the circle.

The portion of the y-axis that intersects the circle at two points.

We can use these intercepts to find the diameter.

There is a y-intercept at y=2 and y=-6.

The distance between the two intercepts is the diameter of the circle.

[tex] |2 - - 6| = |2 + 6| = 8[/tex]

Therefore the radius is 8 units.

Answer: [tex]diameter=8\ units[/tex]

Step-by-step explanation:

By definition, the radius of a circle is the distance from its center to its edge.

We need to remember that diameter of a circle is twice the radius:

[tex]diameter=2(radius)[/tex]

Then, you can observe in the figure that there are 4 units between the center of this circle and its edge, therefore the radius is:

[tex]radius=4\ units[/tex]

Finally, you need to substitute the radius calculated into the formula  [tex]diameter=2*radius[/tex] to find the value of the diameter of this circle. Then, this is:

 [tex]diameter=2(4\ units)[/tex]

 [tex]diameter=8\ units[/tex]