round, game, revolve, go around, circumference
廻 centers on circular or cyclical motion: revolving, going around, or tracing a circumference. The 'game' sense likely comes from rounds or turns in play.
廻 combines 廴 (movement) with 回 (turn, revolve) to express going around or revolving. It is a variant form of 迴, which uses the more common movement radical ⻌.
The movement enclosure 廴 wraps around 回 (turn, revolve), like a path that goes around in circles. Picture a track that keeps turning back on itself.
For カイ, imagine a kite flying in circles: kite -> カイ, and the kite's path revolves around the sky.
to go around
samsara (cycle of death and rebirth)
endless circle of transmigration in the six posthumous worlds
Jujutsu Kaisen (manga series)
wrestler's belt used in a bout
cycle of erosion; geomorphic cycle; geographical cycle
cycle of sedimentation
maritime merchant (Edo and Meiji periods); shipping agency
dumpling cooked in miso served during the dog days of summer at the imperial court
part of a building where water is circulated (kitchen, bathroom, etc.); wet area
all things being in flux through the endless circle of birth, death, and rebirth; the circle of transmigration
erosion cycle
all things being in flux through the endless circle of birth, death, and rebirth; the circle of transmigration
large Japanese junk
east-to-west sea route
all things being in flux through the endless circle of birth, death, and rebirth; the circle of transmigration
the circle of reincarnation
all things being in flux through the endless circle of birth, death, and rebirth; the circle of transmigration
daimyo's mounted guard