area of polygon


Let the vertices of a () polygonMathworldPlanetmathPlanetmath be  (x1,y1),(x2,y2),,(xn,yn),  enumerated in when gone round the polygon anticlockwise. The area of the polygon is equal to

12(|x1x2y1y2|+|x2x3y2y3|++|xn-1xnyn-1yn|+|xnx1yny1|).

References

  • 1 E. Lindelöf: Johdatus korkeampaan analyysiin. Neljäs painos.  Werner Söderström Osakeyhtiö, Porvoo and Helsinki (1956).
Title area of polygon
Canonical name AreaOfPolygon
Date of creation 2013-03-22 17:32:57
Last modified on 2013-03-22 17:32:57
Owner pahio (2872)
Last modified by pahio (2872)
Numerical id 6
Author pahio (2872)
Entry type Result
Classification msc 15A63
Classification msc 51M25
Related topic Area
Related topic Determinant2
Related topic CentreOfMassOfPolygon