Using a router to cut a segmented ring

I’d like to hear some suggestions on using a router to cut a segmented ring. The wood (cherry) is glued up in three layers of segments. The final outside diameter is about 5 inches. The inside diameter is about 4 inches, so the ring is about 1 inch wide. The three layers make it about ½” thick. The first thing I tried was attaching the glued up segments to a piece of plywood with doublestick tape and using a router with a pivot installed in the base. The pivot was riding in a hole drilled in the center of a block screwed to the center of the plywood. Even though the router was set for a cut of less than 1/8”, it chewed up the outside edge of the circle. There were at least two problems. One, the doublestick tape didn’t hold very well. Two, the top of the block the pivot was in was slightly higher than the top of the wood segments being cut, which probably made it unstable.

I could possibly need to make some of these again, so I’m wondering about a better method. (1) I could use the pivot method again and get better tape and make sure everything is level and stable. (2) Or, I could make a pattern, attach it to the segments and trim it with a router bit with a bearing. (3) I guess, theoretically, I could also cut to the outside line with a bandsaw, then clean up on an oscillating sander and maybe cut the inside circle with a scroll saw and also sand it. Any thoughts? I’m sure you guys that do segmented turning can do all this stuff in your sleep!

Thanks for thinking about this.
Mitch

-- Mitch, http://furnitude.blogspot.com