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Delving Deeper
Delving Deeper: Approximating Pi Using Similar Triangles

Ryota Matsuura; Edited by J. Kevin Colligan, Maria Fung, Dan Kalman, and Jeffrey Wanko 

April 2012, Volume 105, Issue 8, Page 632

Abstract:
This article presents a method for approximating Pi using similar triangles that was inspired by the author’s work with middle school teachers. The method relies on a repeated application of a geometric construction that allows us to inscribe regular polygons inside a unit circle with arbitrarily large number of sides.

Keywords:
Limits
Article
Conceptual Development
Area
Grades 9-12
Constructions
Teacher
Skill and Fluency
Professional Development / Teacher Education
Similarity / Congruence