As a noun, it is bicycle and the short form is bike But as a verb, it is to cycle and to bike. One would not use to bicycle because it only has noun meanings. to cycle to ride a bike So, both go cycling and go biking are correct but bike can be easily confused with motorbike, so go cycling is the clearest for the listener. Note: bike = Informal of a. a bicycle. b. a motorbike. c. a motorcycle.