Difference between revisions of "2002 IMO Problems/Problem 6"
(Created page with "==Problem== Let <math>n \ge 3</math> be a positive integer. Let <math>C_1,C_2,...,C_n</math> be unit circles in the plane, with centers <math>O_1,O_2,...,O_n</math> respecti...") |
(No difference)
|
Latest revision as of 00:38, 19 November 2023
Problem
Let 
be a positive integer. Let 
be unit circles in the plane, with centers 
respectively. If no line meets more than two of the circles, prove that
![\[\sum_{1\le i< j \le n}^{}\frac{1}{O_iO_j}\le\frac{(n-1)\pi}{4}\]](http://latex.artofproblemsolving.com/0/2/e/02e757c70af2e01d6d7185ec783c533594060872.png)
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 2002 IMO (Problems) • Resources | ||
| Preceded by Problem 5 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Last Problem |
| All IMO Problems and Solutions | ||
