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I think I misunderstood what you wanted to do.
I thought you wanted to cut holes inside the disc. Oops.
Swinging either the router/cutter or the material in a circle isn't
that hard to do. It sounds like you're on the right track. The trick
is to hold the material securely so that it doesn't vibrate or shift
away from the cutter.
On simple CNC machine cut routines, the cutter doesn't completely
cut around the item as it cuts. Little tabs about 2-3 mm are left
uncut at 2 or more places on the perimeter. This way the piece
does not move relative to the material outside the cut and the cut
is accurate.
The tabs are removed by hand later.
When making a circle, the radius of the cut has to take into
account the diameter of the cutter. The set-up radius needs to be
the desired radius + .5 cutter diameter. (On cut routines involving
both inside and outside cuts, convex and concave curves, the .5
cutter diameter shifts and can be a source of inaccuracy if not
tracked carefully. First rate cutting programs take this into
account.)
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