How can I cut a large (3.5' - 4' in diameter) circle out of a 4x8 sheet of plywood. The preferred method would be one that doesn't leave any holes/marks in the circle's plywood surface. It needs to be as near perfect as possible (shape/edges of the circle). The circle cutout will be used as a table top.
The tools that I have at my disposal are: Router, Dremel, circular saw, 10" table saw, 14" band saw, 10" drill press, jigsaw, and a lathe.