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Two random points (Posted on 2018-04-26)

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 ?

No Solution Yet Submitted by Ady TZIDON

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another way

| Comment 9 of 10 |

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

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