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On the Maximum and Minimum Areas of the Necklace

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Abstract

An extremal problem related to finding the maximum and minimum areas of the set of circles inscribed in the region bounded by two tangent circles is investigated.

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REFERENCES

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ACKNOWLEDGMENTS

The author expresses his gratitude to his scientific supervisor I.R. Kayumov for posing the problem and valuable advice.

Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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Authors and Affiliations

  1. Kazan Federal University, Lobachevskii Institute of Mathematics and Mechanics, 420008, Kazan, Russia

    R. R. Gazizov

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  1. R. R. Gazizov
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Correspondence to R. R. Gazizov.

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Gazizov, R.R. On the Maximum and Minimum Areas of the Necklace. Lobachevskii J Math 44, 4523–4530 (2023). https://doi.org/10.1134/S199508022310013X

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  • DOI: https://doi.org/10.1134/S199508022310013X

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