Six friends were playing a game of indoor soccer together, but got into a fight during their game. Upset with each other, they decided to position themselves in the (square) 300x300 foot gymnasium so as to maximize the distance between the closest pair. Where should they each stand?
They could draw a circle of radius 150 feet ... ( i think it is called inscribing a circle )... and then starting from any point , stand at 60 degree intervals.
This way each of them would be standing approx. 157 feet from the nearest person.