Average Values of Triangles

Peter Korus

doi:10.33401/fujma.692916

EN

Average Values of Triangles

Abstract

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

References

[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

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Peter Korus ^*
0000-0001-8540-6293
Hungary

Publication Date

June 10, 2020

Submission Date

January 22, 2020

Acceptance Date

January 20, 2020

Published in Issue

Year 2020 Volume: 3 Number: 1

DOI

https://doi.org/10.33401/fujma.692916

IZ

https://izlik.org/JA66FX77LW

Cite

RIS / Bibtex

APA

Korus, P. (2020). Average Values of Triangles. Fundamental Journal of Mathematics and Applications, 3(1), 57-60. https://doi.org/10.33401/fujma.692916

AMA

1.Korus P. Average Values of Triangles. Fundam. J. Math. Appl. 2020;3(1):57-60. doi:10.33401/fujma.692916

Chicago

Korus, Peter. 2020. “Average Values of Triangles”. Fundamental Journal of Mathematics and Applications 3 (1): 57-60. https://doi.org/10.33401/fujma.692916.

EndNote

Korus P (June 1, 2020) Average Values of Triangles. Fundamental Journal of Mathematics and Applications 3 1 57–60.

IEEE

[1]P. Korus, “Average Values of Triangles”, Fundam. J. Math. Appl., vol. 3, no. 1, pp. 57–60, June 2020, doi: 10.33401/fujma.692916.

ISNAD

Korus, Peter. “Average Values of Triangles”. Fundamental Journal of Mathematics and Applications 3/1 (June 1, 2020): 57-60. https://doi.org/10.33401/fujma.692916.

JAMA

1.Korus P. Average Values of Triangles. Fundam. J. Math. Appl. 2020;3:57–60.

MLA

Korus, Peter. “Average Values of Triangles”. Fundamental Journal of Mathematics and Applications, vol. 3, no. 1, June 2020, pp. 57-60, doi:10.33401/fujma.692916.

Vancouver

1.Peter Korus. Average Values of Triangles. Fundam. J. Math. Appl. 2020 Jun. 1;3(1):57-60. doi:10.33401/fujma.692916