olymmath

RU-ALLRUSSIAN 1971 Problem 4

  • Answer

Circles, each with radius less than R, are drawn inside a square side 1000R. There are no points on different circles a distance R apart. Show that the total area covered by the circles does not exceed 340,000R2340,000 \mathrm{R}^2 .

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

340,000 \mathrm{R}^2

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator ru-allrussian/1971/p4 · Tag VTX0ZVBR28 · Edit this page on GitHub · Keys: j next, k previous