Formulae for the Areas of Some Kinds of Polygons and its Application in Proving Relations in them

Jordan Tabov1), Asen Velchev2),
Stanislav Stefanov3), Haim Haimov4)
1) Institute of Mathematics and Informatics -Bulgarian Academy of Sciences
2) Technical University – Sofia
3) University of Archtecture, Civil Engineering and Geodesy - Sofia, Bulgaria
4) 16, Bratya Shkorpil Str. - Varna, Bulgaria

https://doi.org/10.53656/math2023-1-3-for

Abstract. А new formula for the area of an arbitrary quadrilateral is applied to derive formulae for the areas of some kinds of polygons with any number of sides; these formulae are further applied to find specific relationships for concrete number of sides.
Keywords: quadrilateral; polygon; area; formula; relationship

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