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
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 1970 Volume: 3 Number: 1
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
