# 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

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?