[1] What is the mean distance between two random points on the perimeter of a unit square?
[2] What is the mean distance between two random points on the interior of a unit square?
Part 1
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The required mean distance between random points on th perimeter of a unit square is approximately 0.73 units.
Part 2
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The required mean distance between two random points on the interior of a unit square is approximately equal to 0.52 units.