2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141242Let $f$ be an analytic function on the unit disc which is in the Dirichlet class, so the Euclidean area of the image, counting multiplicity, is finite. The Euclidean length of a radial arc of hyperbolic length $ρ$ is then $o(ρ^1/2)$. In this note we consider the corresponding results when $f$ maps into the unit disc with the hyperbolic metric or the Riemann sphere with the spherical metric. Similar but not identical results hold.11 pagesComplex Variables30F45 (Primary); 30C45, 30C25 (Secondary)text