Skip to content / Đến nội dung
ThichHocToan.com

MathNet 1995 — Part 01 Question 31

Math Olympiad Vault · MathNet 1995 — Part 01

Question 31

We cut out several circles of paper (not necessarily the same) and spread them on a table so that there are some overlapping (with a common interior part), but in such a way that there is no circle inside another.

Prove that it is impossible to assemble the pieces that result from cutting out the non-overlapping parts and composing disjoint circles with them.