You could do your own collision detection with some math if you want it to be very precise.
In the attached capx it does point vs ring with gap collision detection.
The idea is you can find if a point overlaps the ring if the distance from the point to the center of the ring is between the inner and outer radius' and if the angle from the center of the ring to the point is not within half the angle width of the gap from the current angle of the gap.
Like most math like this it makes more sense if you draw a diagram of it.