Hey Jim,
I have done it both ways. Cutting them around the diameter to make long strips and cutting from the inside to the outside to make 1 or 2 inch wide "rubber bands".
My forms have a row of dowel pegs down both sides following the contour of the forms shape. I have gone to single piece dowels pushed through, through-holes and epoxied.
I had trouble getting even pressure with the zig-zagging strip method. I get a more even glue-up by using similar size bands stretched and slipped over equidistant pegs. I went to the through-hole, single piece pegs because I could never get them glued in solid enough to hold.
OkKeith