To centre around is to have as its main subject. The book centres around one family.
Careful writers object to it, since a centre is a point and nothing can be around a point. Centre on is the form they prefer, and centre around is far commoner in speech.
1phrasecentre aroundTo have as its main subject.
“The whole argument seemed to centre around one paragraph.”
centre around is a phrase.
Also accepted in games: center around
Practised in Phrasal Verbs