Regular Polygons with Perimeter = Area
Loading the math board and drawing, please wait…
This example demonstrates the geometric phenomenon where the perimeter equals the area of regular polygons. It involves core math concepts like regular polygons, perimeter, area, and coordinate geometry. Constructed using GeoGebra commands such as Function and objects like f, g, P3-P20, Side, text1-text3, a. Suitable for high school mathematics teaching to explore geometric properties and functional relationships of regular polygons.
GeoGebra Commands & Parameters
Function(f, 3, 20) → g
AI Drawing Prompt Reference
Draw a series of regular polygons where the perimeter equals the area. Start with an equilateral triangle, then draw regular polygons with increasing sides from a square to a 20-sided polygon. Observe how the side length and number of sides change while ensuring the perimeter equals the area for each polygon.
The prompt above was compiled from the original drawing commands and is for reference only.