Equal parts in a circle

Dividing a circle in to parts and exploring to divide it into equal parts is show in this activity.

Objectives
To divide a circle into equal parts

Estimated Time
30 minutes

Prerequisites/Instructions, prior preparations, if any
Prior knowledge of point, lines, angles, polygons

Materials/ Resources needed

 * Digital : Computer, geogebra	application, projector.
 * Non	digital : Worksheet	and pencil, compass, strings
 * Geogebra	files : Equal	parts in a circle .ggb

Process (How to do the activity)

 * Plot	4points on the circle; join these points to the center of the	circle. Are all the parts equal?
 * How	many parts is the circumference divided into? Identify the part of	the circumference that is the largest?
 * If	the segments connecting the points to the center are equal, what is	it that makes the part bigger than the others?
 * Establish	concept of arc.
 * Which	of these parts the largest? How can you say it is largest? Which	parameter defines the largeness?
 * What	do you notice about the angles made at center by the four parts of	the circle. Which part of the circle has the largest angle?
 * What	is each part of the circle called? - Establish	sector
 * When	will all the four parts of the circle be equal?
 * What	is the total angle made at the center of the circle?