  We explore for compact Riemannian surfaces whose boundary consists of a
single closed geodesic the relationship between orthospectrum and boundary
length. More precisely, we establish a uniform lower bound on the boundary
length in terms of the orthospectrum when fixing a metric invariant of the
surface related to the classical notion of volume entropy. This inequality can
be thought of as a Riemannian analog of Basmajian's identity for hyperbolic
surfaces.
