Software
Sum of exterior angles of a polygon
Autor
Arik, Okay
Resumen
Knowledge about Polygons You can move the vertices to create a polygon and add vertices by alt + clicking. When you move the "align" slider all the way to the right, exterior angles of the polygon are aligned on a unique point and forms a full angle, 2π.
Blue colored angles represent counter-clockwise, i.e. positive, angle and orange ones are vice versa. For a positive directed simple polygon, convex positive angles are blue and concave ones are orange. Therefore their algebraic sum is 2π. In general, for any polygon, convex or concave, simple or self-intersecting, this sum is 2π k, where k is an integer, represents winding number. For example, for a pentagram k = 2 and for butterfly shaped polygon k = 0 Componente Curricular::Ensino Fundamental::Séries Finais::Matemática