Is it possible to cut a perfect circle in the middle of a pane of glass and remove it without breaking the rest of the glass?

Answer 1

Yes, of course it is.

There are class cutters with rubber suction cups that have rotating arm with the cutter at the tip. You stick the suction cup in the middle of the pane of glass, then rotate the arm so that the cutter cuts a circle around it. Then you can tap the center of the pane carefully and, using the suction cup to hold it, take out the circle.

There it is! A circle of glass, and a pane of glass with a circular hole.

For an experienced glass cutter it is an easy job but, if you have not cut glass before, you may need some practice.