Is circle a Polygon ? - A debate

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Objectives

Estimated Time

40 minutes

Prerequisites/Instructions, prior preparations, if any

Ensure that lesson on polygons is done.

Materials/ Resources needed

Laptop, geogebra file, projector and a pointer.

This geogebra file has been created by maths STF teachers.

Process (How to do the activity)

  1. How many sides does this figure have ?
  2. Name the figure formed.
  3. What is happening to the length of the sides as the number of sides is increased ?
  4. What shape is this ?
  5. So, can circle be considered a polygon ? Justify
  • Evaluation:
  1. Are the students able to comprehend that the number of sides is getting infinite as the shape resembles a circle ?
  2. Are the students able to appreciate the application of polygon anology to circles.
  • Question Corner;

Debate between two groups with these two perspectives.

  1. Circle seems to have derived from polygons . Circle can be considered a polygon.

Vs

  1. A polygon is defined by a certain number of sides having non zero length. Then how can circle be a polygon ? (hint: all radii in a circle should be equal ???)