Áreas de figuras planas e geometria esférica

Abstract

The present paper serves as a support material for elementary school teachers who teach mathematics, in particular geometry. We recall the calculation of areas of polygonal plane figures followed by mathematical proofs. About areas of figures, we show curious results, as the Theorem Of Pick, the existence of the line that divides two figures in the same area and the proof that the three medians of triangles divides him in six triangles of the same area. To contemplate the requirements of PCNs, we approach the study of Spherical Geometry as an alternative to interdisciplinarity (geography, mathematics, astrophysics, etc).