I learned a couple other valuable lessons in the process: the first being that I shouldn't try to use the drill to back out the pivot screw. It just snapped off flush with the surface and I never managed to get it back out. I ended up just putting in another screw, which slightly shifted the circle.
I also learned that I should be careful about drilling the hole to allow the router bit to pass through. I drilled right where the edge should have been, and ended up with a little bump in the hole (seen in the bottom right in the image above). In spite of those mishaps, it turned out really well.