Chord length distribution density of an infinitely long circular hollow cylinder

Analytic expressions of the chord length distribution densities of the infinitely long circular hollow cylinder for μ-randomness are given. The calculation strategy uses basic principles. The compact primary result derived is a series of parameter integrals, which can be traced back to elliptic integrals in a separated second step. The mean chord lengths are calculated for this special nonconvex figure and used in all checks. Two distribution types are analyzed: “multichord distribution” and “one-cord distribution”.