Dan commented: "And thus we have the answer to the question, can a bike track fit into the footprint of a hockey rink? Yes, indeed it can."
The Frankfurt Germany velodrome is converted into a skating rink in the winter, however they fit two rinks into the infield. I used to live less than one km from the velodrome and would take my road bike onto the track in summer and played ice hockey there during the winter.
Steven Maasland
Moorestown, NJ