Title: AREA OF PLANAR POLYGONS AND VOLUME OF POLYHEDRA
Abstract: This chapter discusses formulas for calculating area of planar polygons and volume of polyhedra. It considers a planar polygon with vertices P0,…, Pn. There is a simple closed formula for the area of the polygon. If Pn+1 = P0 and if the points P0,……, Pn lie in the xy plane, then the formula for area of polygon can be derived from Green's theorem. If the points lie on some arbitrary plane perpendicular to a unit vector N, then the formula for area of the polygon is derived from Stokes theorem. These two formulas are valid even for nonconvex polygons. The chapter discusses formula for volume of a Polyhedron. It consider a polyhedron with planar polygonal faces S0,…, Sn. The chapter highlights that there is a simple closed formula for the volume of the polyhedron which is derived from Gauss Theorem.
Publication Year: 1991
Publication Date: 1991-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
Access and Citation
Cited By Count: 49
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot