An ancient Roman theater was packed with spectators. A prisoner was led to the middle of the court. Through some door at the perimeter, a hungry tiger was released.[br][br]The prisoner had one chance to survice. If he succeeded to escape through the door the tiger came in, he would regain his freedom.[br][br]It happens that both the tiger and the prisoner had the same speed and endurance. [br][br]Question 1: Is there for the prisoner a way to escape? Can you figure out the best strategy for this prisoner?[br][br]You could start with the assumption that the theater is circular and that the prisoner can be represented with points on a plane.[br][br]Question 2: What happens if the theater is not circular, and what if the particpants are not points in a plane?

In this animation, you can investigate what happens if the prisoner runs along a cricular perimeter. You can place the tiger anywhere you want.