Ok, I see your animation example, but I cannot get Sketch up to replicate this with two circles. I notice that in your example, the circles are “empty” (no blue shading). Even if I delete the surface I cannot get the circles to do what is in the animation. What is the sequence of mouse clicks to in the animation?
In my file, I have 51 “pies” in the large circle, for which I have to drill 51 equally spaced holes at the circumference of the large circle. I realize 51 is a weird number, but that is what the math indicates what I need. This essentially will become a custom sized spocket for a ball chain. Just experimenting at the moment.