This is the 406th most frequent Danish word.
omgang
"Omgang" means "interaction," "contact," or "round" depending on context.
In this case, 'omgang' refers to 'association' or 'circle of acquaintances.'
Han har en bred omgangskreds blandt kolleger.
He has a wide circle of colleagues.
Used here, 'omgang' implies 'interaction' or 'dealing with' a situation.
Efter omgang med sygdommen følte hun sig træt.
After dealing with the illness, she felt tired.
Here, 'omgang' means a 'round' or 'iteration' of playing the game.