Pin it!
Google Plus

Subscriber? Sign in to access.


Intersections of a Circle and a Square: An Investigation

Dan Canada, Stephen Blair 

January 2007, Volume 100, Issue 5, Page 324

The investigation of how a circle and square lying in the same plane could intersect each other is an excellent example of geometric problem-solving. This paper explores three facets of the investigation: (1) finding out how many points of intersection are possible, (2) classifying the different ways of intersection, and (3) determining which ways are constructible, and how. Altogether, the investigation offers students and teachers alike a venue for exploring a rich task in geometry. Includes student work.

Teacher in Training / Preservice Teacher
Grades 9-12
Geometry & Measurement
Problem Solving / Problem Posing
Student Work
Reasoning and Proof