# Is circle a Polygon ? - A debate

From Karnataka Open Educational Resources

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.

Download this geogebra file from this link.

### Process (How to do the activity)

- How many sides does this figure have ?
- Name the figure formed.
- What is happening to the length of the sides as the number of sides is increased ?
- What shape is this ?
- So, can circle be considered a polygon ? Justify

- Evaluation:

- Are the students able to comprehend that the number of sides is getting infinite as the shape resembles a circle ?
- Are the students able to appreciate the application of polygon anology to circles.

- Question Corner;

Debate between two groups with these two perspectives.

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

Vs

- 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 ???)