Explanation of working model of circle theroem | Inscribed angles subtended by the same arc are equal | Maths Project | Maths Working Model.

 Inscribed angles subtended by the same arc are equal.

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Introduction:- By using this working model you can easily explain the circle theorem (Inscribed angles subtended by the same arc are equal).

We will go through the inscribed angle theorem, but before that, let’s discuss some interesting facts about circles and their parts.

Circles are all around us in our world. There exists an interesting relationship among the angles of a circle. 

To recall, a chord of a circle is the straight line that joins two points on a circle’s circumference. Here A and B line shows the chord.

Three types of angles are formed inside a circle when two chords meet at a common point known as a vertex. These angles are the central angle, intercepted arc, and the inscribed angle.

What is the Inscribed Angle?

An inscribed angle is an angle whose vertex lies on a circle, and its two sides are chords of the same circle.

Proof by using this working model.

Take three points on the circumference of the circle. Draw a chord AB on the circle as shown in the picture.

Now I take three 360 degrees protractors. 

Take three rubbed bands to show the chords and inscribed angles. One rubbed band shows chord AB. 

Now stretched the rubbed band meet it at the first point on the circle. Now Note down the angle with help of 360-degree protractor. You see it is 50 degrees. 

Now again do this for the second point, you will see again it is 50 degrees.

Now again do this for the third point, you will see again it is 50 degrees.

This shows that the same chord subtends the same angle at every point on the circumference of the circle.

Hence proved.