Χωριό = village. :) (and it would be γύρω από το χωριό)
Edit: There is a word, γύρος, that means tour, as in Tour de France. In that case, when you do a tour of the village, it is "κάνω τον γύρο του χωριού". It also means gyro :D So γύρος, ο = noun and γύρω = adverb.