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Demonstrating Pi

Demonstrating Pi
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2017-06-26 04:44
CircleFunctionGeometric Construction
This example demonstrates the geometric phenomenon that the ratio of a circle's circumference to its diameter is always Pi. The core math concepts involved are Pi, circumference, diameter, and geometric construction. It is constructed using GeoGebra commands such as Circle, Segment, Circumference, PointIn, Line, and Intersect. Suitable for middle school students and above to learn the properties of circles and the meaning of Pi, as well as for mathematical demonstrations and teaching purposes.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Segment(A, B) → r
  3. Circumference(c) → circumferencec
  4. PointIn(c) → Pointc
  5. Line(B, A) → f
  6. Intersect(c, f) → C, D
  7. Segment(D, B) → d