This is really well made - thanks for sharing (and Merry Christmas)! Small thing: I didn't understand the difference between the white and black options at first. For some reason white was pre-selected so I got confused when nothing was cutting out while drawing for the first time. Maybe a label on hover would fix this while still keeping the clean look?
A label on hover would be nice — or even persistent labels to the right of the circles. I also wonder if instead of black, a dashed outline with a transparent center would make more sense, since you're cutting.