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Regular Hexagon and Mean Distance (Posted on 2022-10-14) Difficulty: 3 of 5
Part 1
Determine the mean distance between two random points on the perimeter of a unit (convex) regular hexagon.

Part 2
Determine the mean distance between two random points on the interior of a unit (convex) regular hexagon.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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comment | Comment 4 of 6 |
I think the answer to either of these questions is dependent on the way in which the random points are chosen, as exemplified by Bertrand's Paradox.
  Posted by Steven Lord on 2022-10-14 10:59:16
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