Intersections of a Circle and a Square: An Investigation

  • Intersections of a Circle and a Square: An Investigation

    Dan Canada, Stephen Blair
    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.