I think you mean hippodrome. No, it was not a chariot race, it was the place that chariot races were held. Hippodrome was used in the eastern part of the empire and circus was used in the western part. They were both terms for a racetrack.
Chariot racing is an old Greek,Roman sport that was created for entertainment chariot race is one driver pulled by horse. The racers race in circles in the Circus maximus (building they were normally held in)These races are dangerous for both the horse and driver!