2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71831Consider the Poincare disc model for hyperbolic geometry. In this paper, a convenient computational formula is developed along with an aesthetic geometric interpretation. Two proofs, one geometric and one analytical, of each result are given.23 pages, 4 figuresMetric GeometryArea of Polygons in Hyperbolic Geometrytext