# circle line picking

Circle line picking is the activity of choosing two points on the circumference a unit circle and calculating probabilities and averages about the chord formed by connecting those two points.

The length of the line segment between the two points is $\sqrt{2-2\cos\theta}$, where $\theta$ is the angle of the central vertex of a triangle formed by connecting the two points to the center. On average, this works out to $\frac{4}{\pi}$.

Title circle line picking CircleLinePicking 2013-03-22 16:26:05 2013-03-22 16:26:05 PrimeFan (13766) PrimeFan (13766) 5 PrimeFan (13766) Definition msc 51D20 BertrandsProblem