• 巡めぐる — to go around; to circulate
• 巡回じゅんかい — patrol; round
• 巡業じゅんぎょう — provincial tour (performers, sumo)
• 巡査じゅんさ — police officer (patrolman)
• 巡視じゅんし — inspection; patrol
• 巡礼じゅんれい — pilgrimage

With the radical 辶 (movement, road), 巡 carries the sense of walking a circuit, turning around, or making rounds. From patrols (巡回), to pilgrimages (巡礼), the common thread is “going around in sequence.”