2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132273We prove some asymptotic results for the radius and the profile of large random rooted planar maps with faces of arbitrary degrees. Using a bijection due to Bouttier, Di Francesco and Guitter between rooted planar maps and certain four-type trees with positive labels, we derive our results from a conditional limit theorem for four-type spatial Galton-Watson trees.25 pages, 2 figuresProbability60F17, 60J80, 05J30Radius and profile of random planar maps with faces of arbitrary degreestext