Highway Code (from The Highway Code - Rules for cyclists (59 to 82) - Guidance - GOV.UK)
Rule 13
Routes shared with cyclists. Cycle tracks may run alongside footpaths or pavements and be separated from them by a feature such as a change of material, a verge, a kerb or a white line. Such routes may also incorporate short lengths of tactile paving to help visually impaired people stay on the correct side. On the pedestrian side this may comprise a series of flat-topped bars running across the direction of travel (ladder pattern). On the cyclist side the same bars are orientated in the direction of travel (tramline pattern).
Some routes shared with cyclists will not be separated by such a feature allowing cyclists and pedestrians to share the same space. Cyclists should respect your safety (see Rule 62) but you should also take care not to obstruct or endanger them. Always remain aware of your environment and avoid unnecessary distractions.
Where signs indicate, some routes are shared between pedestrians, cyclists, horse riders and horse drawn vehicles. Cyclists, horse riders and drivers of horse drawn vehicles should respect your safety, but you should take care not to obstruct or endanger them. Always remain aware of your environment and avoid unnecessary distractions.
Rule 62
Cycle Tracks. These are routes for cyclists that are physically protected or located away from motor traffic, other than where they cross side roads (see Rule 206). Cycle tracks may run alongside footpaths or pavements and be separated by a feature such as a change of material, a verge, a kerb or a white line. You MUSTkeep to the side intended for cyclists as the pedestrian side remains a pavement or footpath.
Some cycle tracks shared with pedestrians will not be separated by such a feature. On such shared use routes, you should always take care when passing pedestrians, especially children, older or disabled people, and allow them plenty of room. Always be prepared to slow down and stop if necessary (see Rule H2).
Law HA 1835 sect 72
Rule 63
Sharing space with pedestrians, horse riders and horse drawn vehicles. When riding in places where sharing with pedestrians, horse riders or horse drawn vehicles is permitted, take care when passing pedestrians and horse riders, especially children, older adults or disabled people. Slow down when necessary and let them know you are there; for example, by ringing your bell (it is recommended that a bell is fitted to your bike), or by calling out politely.
Remember that pedestrians may be deaf, blind or partially sighted and that this may not be obvious.
Do not pass pedestrians, horse riders or horse drawn vehicles closely or at high speed, particularly from behind. You should not pass a horse on their left. Remember that horses can be startled if passed without warning. Always be prepared to slow down and stop when necessary.
Rule 64
You MUST NOT cycle on a pavement.