coloured paper, a pair of scissors, geometry box, fevistick, carbon paper.
step 1 Draw a circle of any radius with centre O on a coloured paper and cut it.
step 2 Take a rectangular sheet of paper and paste the circle cut out on it.
step 3 Mark two points A and B on the circle to get arc AB.
step 4 Form a crease joining OA and draw OA.
step 5 Form a crease joining OB and draw OB.
step 6 Take a point C on the remaining part of the circle.
step 7 Form a crease joining AC and draw AC.step 8 Form a crease joining BC and draw BC.
step 9 Make two replicas of angle ACB using carbon paper.
step 10 Place the two replicas of angle ACB adjacent to each other on angle AOB.
1. Arc AB subtends angle AOB at the centre and angle ACB at the point C on the remaining part of the circle.
2. Two replicas of angle ACB completely cover angle AOB.
angle AOB = 2 (angle ACB)
Thus its is verified that "angle subtended by an arc at the centre of a circle is twice the angle subtended by the same arc at any other point on the remaining part of the circle."