You choose a random point, uniformly, within a regular hexagon, with unit side length.

What's the average distance to the six sides?

(In reply to Computer solution by Larry)

It looks as if the program is calculating the average distance to the vertices of the hexagon rather than the sides. That would seem to be correct only if none of the sides would contain the perpendicular to the point in question. However many points' distance to a side are on a perpendicular to the side in question, and that distance is shorter than the distance to either end vertex.

Posted by Charlie on 2023-10-25 15:16:39