Now the fun part. Scissors! Carefully cut out the discs. Be as precise as you can. Outside the line is better then inside.
This yields three discs.
Again repeat the glue and stick-together process until you have one disc. Lining them up on the centers.
This is the shape with the edges smoothed.
I found the centre with a ruler and marked it off. and drilled a 1/8" pilot hole on the drill press.
This will get hot, so you don't want to press too hard. A very light touch is all that is needed to bring a wire edge to razor sharp.