Pick two points at random in a circular sector of radius 1 and central angle θ, and consider the length s of the line joining them. The following table summarizes approximate values of the mean s^_ for various θ. The case θ = 2π corresponds to disk line picking. θ | s^__(approx.) | s^__exact | OEIS 1/2 π | 0.47387... | 32/(135π^2)[6ln(2sqrt(2) - 2)94sqrt(2) + 48π - 3] | A130204 π | 0.70605... | 64/135 (12π - 23)/π^2 | A130203 2π | 0.90541... | 128/(45π) | A093070

circular sector | disk line picking