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Year 2020, Volume: 3 Issue: 1, 57 - 60, 10.06.2020

Peter Korus

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

Abstract

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

Average Values of Triangles

Year 2020, Volume: 3 Issue: 1, 57 - 60, 10.06.2020

Peter Korus

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

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
There are 3 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Peter Korus 0000-0001-8540-6293

Publication Date June 10, 2020
Submission Date January 22, 2020
Acceptance Date January 20, 2020
Published in Issue Year 2020 Volume: 3 Issue: 1

Cite

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 Korus P. Average Values of Triangles. Fundam. J. Math. Appl. June 2020;3(1):57-60. doi:10.33401/fujma.692916
Chicago Korus, Peter. “Average Values of Triangles”. Fundamental Journal of Mathematics and Applications 3, no. 1 (June 2020): 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 P. Korus, “Average Values of Triangles”, Fundam. J. Math. Appl., vol. 3, no. 1, pp. 57–60, 2020, doi: 10.33401/fujma.692916.
ISNAD Korus, Peter. “Average Values of Triangles”. Fundamental Journal of Mathematics and Applications 3/1 (June 2020), 57-60. https://doi.org/10.33401/fujma.692916.
JAMA 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, 2020, pp. 57-60, doi:10.33401/fujma.692916.
Vancouver Korus P. Average Values of Triangles. Fundam. J. Math. Appl. 2020;3(1):57-60.
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