Perimeter of n-Polygon with Radius 1

This GeoGebra example demonstrates how the perimeter of a regular n-sided polygon with radius 1 changes as the number of sides n increases. As n grows from 3, the polygon progressively approaches a circle, with its perimeter converging to 2π ≈ 6.283. Key mathematical concepts include the perimeter formula of regular polygons, the limit concept (polygon approaching circle as n→∞), and trigonometry (side length = 2sin(π/n)). Construction details: use the Polygon command to create regular polygons, Circle for the reference circle, Rotate to generate vertices, and a slider to control n, with Perimeter function displaying dynamic values. This example is suitable for middle and high school mathematics, helping students intuitively understand the approximation of π and the concept of limits in geometry.