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# Approximating pi with polygons - visualisation tool
- URL: https://www.esheets.io/approximating-pi-with-polygons/
- Published: 2025-05-11T22:19:51.000Z
- Updated: 2026-07-19T15:42:17.000Z
- Author: Richard Linnington
- Tags: Maths, Geometry and Shape, Tools

This visualisation shows how π can be approximated by using regular polygons inscribed within and circumscribed around a circle. As the number of sides (N) of the polygons increases, their perimeters get closer to the circumference of the circle. The inscribed polygon gives a lower bound for π, and the circumscribed polygon gives an upper bound.

D = 1 

Number of Sides (N): 4 

| Property                              | Inscribed Polygon | Circumscribed Polygon |
| ------------------------------------- | ----------------- | --------------------- |
| Side Length                           | \-                | \-                    |
| Perimeter                             | \-                | \-                    |
| π Approximation(Perimeter / Diameter) | \-                | \-                    |

Reference π ≈ 3.1415926535...