Peter KORUS

275154

Average Values of Triangles

Average Values of Triangles

The average area and perimeter of triangles defined by three random points on the circumference of a unit circle are already known. In this paper, we calculate the average value of the inradius along with its variance. We also consider the average area, inradius and circumradius of triangles of unit perimeter.

Keywords:

Area, Circumradius, Inradius, Perimeter Triangle,

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[1] A. Madras, S. KC, Randomly generated triangles whose vertices are vertices of regular polygons, Rose-Hulman Undergrad. Math. J., 7(2) (2006), Article 12.
[2] E. W. Weisstein, Circle triangle picking. From MathWorld – A Wolfram Web Resource. http://mathworld.wolfram.com/ CircleTrianglePicking.html
[3] Wolfram Alpha LLC, 2018, WolframjAlpha. https://www.wolframalpha.com

Fundamental Journal of Mathematics and Applications-Cover

ISSN: 2645-8845
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2018
Yayıncı: Fuat USTA

Arşiv

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