From WikiPedia

Modern social round dance, or round dancing, is a choreographed and cued ballroom dance that progresses in a circular counterclockwise pattern around the dance floor. The two major categories of ballroom dances found in round dancing are the smooth and international ballroom styles (such as two-step, waltz, and foxtrot) ) and the Latin dances (such as cha-cha-chá, salsa, and rhumba). It is not to be confused with circle dancing, which is a type of folk dance in which dancers are connected in a circular chain.

Description

Round dancing differs from free-style ballroom dancing in that each round dance has been fully choreographed ahead of time, and a “cuer” or leader at the front of the ballroom tells the dancers, as they dance, what steps to do. As the music plays, and just ahead of the beat, so the dancers have time to respond, the cuer names each dance figure in the choreography. As a consequence, all the dancers on the floor are dancing the same steps at the same time.