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

v.genkov@azbuki.bg by v.genkov@azbuki.bg
08/07/2025
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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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