**SSC BOARD EXAM ICT Practical P10 - Verify the theorem using Geogebra.****Practical Name:**Verify the theorem using Geogebra - The measure of an angle subtended by an arc at a point on the circle is half of the measure of the angle subtended by the same arc at the centre.

**Tools/Software:**Computer with Geogebra Software installed.

**Procedure:**

1)
Start the Geogebra Software

2)
Select the

**Circle with Centre through Point**tool. Click at a point A and then click at another convenient point B to draw a circle with centre A through point B.
3)
Using

**New Point tool**, add two other points C and D on the circumference of the circle
4)
Select the

**Segment between Two Points**tool and draw the segments AB, AC, DB and DC.
5)
Select
the

**Angle tool**. Click on the segments AB and AC. This measures the angle subtended by the arc CB at the centre as Î±. Similarly, click on the segments DB and DC. This measures the angle subtended by the arc CB at the circumference as Î².
6)
It
is seen that Î±=2Î², i.e. the measure of the angle subtended by an arc at the
circumference is half that subtended at the centre.

**Result:**Theorem verified.

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