Patrol
A patrol is commonly a group of personnel, such as law enforcement officers or military personnel, that are assigned to monitor a specific geographic area.
This is also often referred to as a beat.
Military
In military tactics, a patrol is a sub-subunit or small tactical formation, sent out from a military organization by land, sea or air for the purpose of combat, reconnaissance, or a combination of both. The basic task of a patrol is to follow a known route at which sent to investigate some feature of interest, or to fighting patrols (US combat patrol), sent to find and engage the enemy. A patrol can also mean a small cavalry or armoured unit, subordinate to a troop or platoon. A patrol usually comprises a section or squad of mounted troopers, or two AFVs (often tanks).
Law enforcement
In non-military law enforcement, patrol officers are law enforcement officers assigned to monitor specified geographic areas—that is, to move through their areas at regular intervals looking out for any signs of problems of any kind. They are the officers most commonly encountered by the public, as their duties include responding to calls for service, making arrests, resolving disputes, taking crime reports, and conducting traffic enforcement, and other crime prevention measures. A patrol officer is often the first to arrive on the scene of any incident; what such an officer does or fails to do at the scene can greatly influence the outcome of any subsequent investigation. The patrol officer, as the person who is in the field daily, is often closest to potential crime and may have developed contacts who can provide information.