here is an idea:
cut the right size circle out of some plywood/MDF or whatever scrap you have lying around using a hole saw , then using double sided tape attach the lexan/plexy to the top of the wood circle, then using a "trimming bit"?(cant remember the name, straight bit with a bearing on the bottom that is the same size as the cutter) cut the circle out
should work as long as the double sided tape is strong