WHat is the average distance between randomly two points between the 1 cm square?
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The distance between two points is hypotenuses of right angle triangle and the formula of distance between two points are the spreadsheets perform 10, 000 trials and the actual digit is 0. 517
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LEt,
the smallest distance between two point is 0
And the largest distance is the diagonal in square
So by pythagoras theorem
1^2+1^2=diagonal square
1+1=2
Diagonal = underroot 2
Underroot 2=1.4...
So average =0+1.4/2=o.7 cm
but actually the average is 0.5214...
it is tried to explain with higher mathematics
=1/15(2+underroot 2+5sinh^-1(1))=o.5214...
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