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Draw a circle that intersects both dots. Done.

Before you say that it should be just a line, let me say that it doesn't break the rules that say you can "draw" a circle with 100 or 12 or 7 dots. The dots don't form a circle but rather fall on the line of a circle your mind draws. Since there is nothing truly between the dots, the "true" shape could jut out and form a corner or any other shape, just like it could be a line between the two dots. The circle isn't really there in any circle of n points, so n=2 (and n=1 for that matter) work just fine.

The original post used the term "formed," and I used "make," both with the intent of using only dots to create a circle. I would say you have "included" two dots in your circle, with this new line being the main element. With all due respect.

Actually, I can make any circle with 2 dots (points):

From Wikipedia:

A circle can be defined as the curve traced out by a point that moves so that its distance from a given point is constant.

not quite - you can't make a circle with diameter smaller than the distance between the two dots. and for any given radius, at most two circles (two centre positions) are possible.

It won't be a perfect circle. You could only create a perfect circle with infinitely many dots, no less.