# The limit of the n-gon as n goes to infinity is the circle

- Author:
- Sangeeta

- Topic:
- Circle

A geometric example of a limit:Look at a polygon inscribed in a circle. As the number of sides of the polygon increases, the polygon gets closer and closer to the becoming the circle.
Use the sliders to change the number of sides of the polygon and the radius of the circle too.

If we generalize the polygon as an n-gon, where n is the number of sides, we can make some mathematical statements about the polygon:
• As n gets larger, the n-gon gets closer to being the circle.
• As n approaches infinity, the n-gon approaches the circle.
• The limit of the n-gon as n goes to infinity is the circle.