PUMaC 2020 · 几何（B 组） · 第 2 题
PUMaC 2020 — Geometry (Division B) — Problem 2
题目详情
- Seven students in Princeton Juggling Club are searching for a room to meet in. However, they must stay at least 6 feet apart from each other, and due to midterms, the only open rooms they can find are circular. In feet, what is the smallest diameter of any circle which can contain seven points, all of which are at least 6 feet apart from each other?
解析
- Seven students in Princeton Juggling Club are searching for a room to meet in. However, they must stay at least 6 feet apart from each other, and due to midterms, the only open rooms they can find are circular. In feet, what is the smallest diameter of any circle which can contain seven points, all of which are at least 6 feet apart from each other? Proposed by: Daniel Carter Answer: 12 The optimal arrangement is one person in the middle with six surrounding them in a regular hexagon, giving a diameter of 12 feet.