# Activity1 Angles in the same segment are equal

From Karnataka Open Educational Resources

### Objectives

- 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)

Download this geogebra file from this link.

**Procedure**:

- 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.
- What do you mean by the minor segment and major segment of a circle?
- Identify minor segment and major segment.
- Identify and measure the Angles in major segment
- 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?
- Find that all angles in the same segment are equal

Application:

- What is the type of angle subtended by it in the minor segment?
- What is the type of angle subtended by it in the major segment?
- 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?

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