Final answer:
The Panhellenic games were religious festivals and athletic competitions held in ancient Greece to unite the Greek city-states, while the Roman circus games primarily focused on chariot racing and were popular events in Roman cities.
Step-by-step explanation:
The Panhellenic games and the Roman circus games were both forms of ancient entertainment, but they had significant differences. The Panhellenic games were religious festivals and athletic competitions held in ancient Greece to unite the Greek city-states. They included sports like javelin, discus, footraces, and pankration. On the other hand, the Roman circus games, held in venues called circuses, focused primarily on chariot racing and were popular events for the residents of Roman cities. They also sometimes included other entertainments like gladiatorial combats and battles between men and animals.