2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134787For a Jordan domain in the plane the length metric space of points connected to an interior point by a curve of finite length is a CAT(0)space and Gromov hyperbolic. With respect to the cone topology, that space plus its boundary at infinity is topologically the same as the original Jordan domain.8 pages, 3 figures, another significant fact about the domains is stated and proved, namely, Gromov hyperbolicityDifferential Geometry53C70, 53C22, 53C45text