3

Part of 2003 Portugal MO

Problems(1)

combo geo with circular crown , 650 points in a circle 2003 Portugal p3

Source:

650

points in a circle with a radius of

16

cm. Shows that there is a circular crown with

2

cm of inner radius and

3

cm of outer radius that contain at least

10

of these points.

geometrypointscombinatorial geometry