1Experimentally verify that the perpendicular drawn from the centre of a circle bisects the chord.
2Experimentally verify that the line joining the centre of a circle to the midpoint of the chord is perpendicular to the chord.
3Experimentally verify that chords which are equidistant from the centre of a circle are equal.
4In a circle with centre O, where is ∠AOB, formed by the radii OA and OB, formed? What is it called?
5Where is ∠PQR, formed by the chords QP and QR of a circle, formed? What is it called?
6What is the difference between ∠AOB and ∠PQR? Compare them.
7A, P and B are points on a circle, and arc APB is larger than a semicircle. What are arc APB and arc AB called?
8When the central angle is 180°, what part of the circumference is the arc opposite to it?
9When the central angle is one fourth of the circle, what part of the circumference is the arc opposite to it?
10When the central angle is one sixth of the circle, what part of the circumference is the arc opposite to it?
11Is there a direct relationship between the central angle and its opposite arc?
12In a circle with centre O, O is joined to the point C on the circle. Are the radii OA, OB and OC of the same circle equal?
13What types of triangles are triangle OAC and triangle OBC? Which sides and angles of these triangles are equal?
14In a circle with centre O, \( \angle AOB = 150^\circ \). Find the degree measures of the minor arc AB and the major arc.
15An inscribed angle \( \angle ACB = 38^\circ \) stands on the minor arc AB. What is the degree measure of arc AB?
16Arc AB is \( \frac{3}{8} \) of the whole circumference. Find the inscribed angle ACB standing on this arc.
17In a circle with centre O, \( \angle AOB = 110^\circ \). Find \( \angle OAB \) in triangle OAB.
18A circle of radius 10 cm has a chord 16 cm long. Find the perpendicular distance of the chord from the centre.