brynn wrote:...Is THAT the goal?

If so, when you say "precisely concentric" do you also mean evenly spaced around the circle?

The problem is:

The pattern of dots (which are already properly spaced in a circle) is not centered around the gray circle. There is less space between the dots and the circle near the top than there is near the bottom. This is due to the odd number of circles.

Polygon's solution seems the most elegant... duplicate to create an even number of circles in the pattern. Center. Delete the doubles. (I failed miserably, trying to simply flip the pattern.)

I used a geometric process of finding the true center of the pattern. It works, but not nearly as simple as Polygon's solution.

(my capture software was interfering with my mouse pointer, so there are a lot of extra clicks.)