On a circumference of a given circle with a radius R two random points A & B are independently chosen.

What is the probability of AB being less than R ?

Pick the first point, then choose a random real number N between pi*R and -pi*R to determine the second point.  When N is between R and -R the problem is satisfied with probability 1/pi = 0.318309+.

Posted by xdog on 2018-04-27 07:49:44