Maximum Points on a Disk
XAT 2019 · Quantitative Ability & Data Interpretation · Medium · Geometry
What is the maximum number of points that can be placed on a circular disk of radius 1 metre (some of the points could be placed on the bounding circle of the disk) such that no two points are at a distance of less than 1 metre from each other?
- A.
6
- B.
9
- C.
7
- D.
8
- E.
5
Answer
C
Explanation
1 point can be placed at the center. On the perimeter of radius 1, a regular hexagon of side length 1 can be formed with 6 vertices. Distance between adjacent perimeter points is 1, and distance from center to each perimeter point is 1. Total maximum points = .
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