2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124838A Bonnesen-type inequality is a sharp isoperimetric inequality that includes an error estimate in terms of inscribed and circumscribed regions. A kinematic technique is used to prove a Bonnesen-type inequality for the Euclidean sphere (having constant positive Gauss curvature) and the hyperbolic plane (having constant negative Gauss curvature). These generalized inequalities each converge to the classical Bonnesen-type inequality for the Euclidean plane as the curvature approaches zero.Latex, 11 pagesMetric Geometry52A55; 52A22Bonnesen-type inequalities for surfaces of constant curvaturetext