Is circle a Polygon ? - A debate

A polygon when increased in number of sides tends to form a circle is shown with this interesting activity.

Objectives
To understand how a circle is derived

Estimated Time
40 minutes

Prerequisites/Instructions, prior preparations, if any
Ensure that lesson on polygons is done.

Materials/ Resources needed
Digital: Laptop, geogebra file, projector and a pointer.

Geogebra file: Regular polygon tends towards a circle as sides increase.ggb

This geogebra file has been created by maths STF teachers.

Process (How to do the activity)
Debate between two groups with these two perspectives. Vs
 * 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 ?
 * 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;
 * 1) Circle seems to have derived from polygons . Circle can be considered a polygon.
 * 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 ???)