Krishna Busawon

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 22, 2016, Number 4, Pages 62—72

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## Details

### Authors and affiliations

Krishna Busawon

*Northumbria University
Department of Mathematics, Physics and Electrical Engineering
Faculty of Engineering and Environment
NE1 8ST Newcastle upon Tyne, UK
*

### Abstract

In this paper, we propose an upper and a lower bound of the number *π* expressed as the limit to infinity of two sequences. These sequences are constructed using geometric methods based on the Vieta’s approach. As far as geometrical methods for computing *π* is concerned, numerical results are provided to show that the proposed result is comparable to the existing ones.

### Keywords

- Pi
- Vieta’s method
- Telescopic series

### AMS Classification

- 11B30

### References

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## Cite this paper

APABusawon, K. (2016). Upper and lower bounds for *π* based on Vieta’s geometrical approach. Notes on Number Theory and Discrete Mathematics, 22(4), 62-72.

Busawon, Krishna. “Upper and Lower Bounds for *π* Based on Vieta’s Geometrical Approach.” Notes on Number Theory and Discrete Mathematics 22, no. 4 (2016): 62-72.

Busawon, Krishna. “Upper and Lower Bounds for *π* Based on Vieta’s Geometrical Approach.” Notes on Number Theory and Discrete Mathematics 22.4 (2016): 62-72. Print.