Two friends are playing a game. One friend stands in the middle of a circle radius 100m. His objective is to leave the circle. He may take one step at a time, distance 1m, in any direction. However, his friend may tell him to take that same step in the opposite direction instead. How does he leave the circle?
This is more of a maths puzzle than a classical maths question, but it stumped me nevertheless. I'm really curious to know the answer, after a friend posed this question to me.