# Problems on Circles II: Halving a Set of Points

Problems on Circles II: Halving a Set of Points

You are given points () in the plane, no three on a line and no four on a circle. By using random points, this Demonstration shows that you can find a circle passing through three of them (in red) such that, of the remaining points, are in the interior (in yellow) and are in the exterior (in blue) of .

2n+3

n≥1

C

2n

n

n

C