The Condition of a Circle containing other Circles in Determinant form

Authors

  • A S M Mohiul Islam Department of Mathematics, University of Chittagong, Chattogram 4331, Bangladesh
  • Md Habibur Rahman Department of Mathematics, University of Chittagong, Chattogram 4331, Bangladesh
  • Usama Ibn Aziz Department of Mathematics, University of Chittagong, Chattogram 4331, Bangladesh

DOI:

https://doi.org/10.3329/cujs.v45i1.79098

Keywords:

Circle, Determinant, Straight Line Equation, Series, Circle Containment, Voronoi Diagram.

Abstract

This article examines the connection between circles and straight lines. A circle that contains another circle and is bounded to a fixed point is said to meet the containment requirement. The idea of putting a second circle outside the predetermined circle was previously discussed. For every possible combination of circles inside and outside the fixed circle, a set of equations is created. The graph is generated using "MATHEMATICA" software because they are produced in numbers. This is carried out for circles placed on any axis. The equation was demonstrated to represent the even and odd integers on a circle, however, this requirement had not previously been expressed explicitly. There are several uses and applications for formulating a circle containing another circle equation. It can be used to locate the spots where two circles intersect in geometry. The main objective of this essay is to offer a straightforward equation that describes how circles relate to their places. The usage of numbers is used to accomplish this. Every mathematical modeling and analysis tool can be implemented at runtime.

The Chittagong Univ. J. Sci. 45(1): 1-10, 2023-2024

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Published

2025-12-14

How to Cite

Islam, A. S. M. M., Rahman, M. H., & Aziz, U. I. (2025). The Condition of a Circle containing other Circles in Determinant form. The Chittagong University Journal of Science, 45(1), 1–10. https://doi.org/10.3329/cujs.v45i1.79098

Issue

Vol. 45 No.1 (2023-2024)

Section

Articles

License

Copyright (c) 2024 A S M Mohiul Islam, Md Habibur Rahman, Usama Ibn Aziz

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