Activity1 Angles in the same segment are equal

Objectives

 * 1) Being able to deduce angles on the same segment are equal.

Estimated Time
20 minutes

Prerequisites/Instructions, prior preparations, if any
Knowledge about segment,minor arc,major arc,semi circle,angle subtended by a segment

Materials/ Resources needed
Digital : Click here to open the file

Non-digital : Ruler,Compass,Protractor

Process (How to do the activity)
Procedure:
 * 1) In Circle with centre 'A', BD is a chord, 'p' is major arc and 'd' is minor arc which is represented in red and blue colour respectively.
 * 2) What do you mean by the minor segment and major segment of a circle?
 * 3) Identify minor segment and major segment.
 * 4) Identify and measure the Angles in major segment
 * 5) If you change the radius of the circle,Did you observe any changes in the angle measurement? (or) Is the measurement of angle dependant on the circle radius?
 * 6) Find that all angles in the same segment are equal

Application:
 * 1) What is the type of angle subtended by it in the minor segment?
 * 2) What is the type of angle subtended by it in the major segment?
 * 3) What is type of angle subtended by it in the semi circle?

Evaluation at the end of the activity
If a segment subtended an angle 80° at circumference, then what will be the measure of angles subtended by same segment of the circle circumference at the point P and Q?

Go back to main page Click Here