Exercise: A circle with centre O is drawn, and A, B, C, D are points on the circle Class 9

Exercise: A circle with centre O is drawn, and A, B, C, D are points on the circle Class 9

Question 1.

Exercise: A circle with centre O is drawn, and A, B, C, D are points on the circle (see given figure). Measure the angles subtended by arc AKB and arc CLD at the centre O. If the angle at the centre is less than 180°, it is a minor arc. If the angle at the centre is greater than 180°, it is a major arc. State whether arcs AKB and CLD are minor arcs or major arcs. Class 9

Answer:

Since the angle subtended by arc AKB at the centre O is less than 180° and that by arc CLD is greater than 180°, arc AKB is a minor arc and arc CLD is a major arc.

Question 2.

Activity: Draw a circle and a chord AB. Fix an arc AKB formed by AB and a point K between A, B on the circle. Measure the angle subtended at the centre by arc AKB. Take three points P, Q, R on the circle outside arc AKB. Measure the angles subtended by arc AKB at points P, Q, R. What do you notice? Class 9

Repeat this activity for a different arc AKB.

Answer:

Angles subtended by the same arc in the same segment of a circle are equal.

[Note: Students should do this activity on their own.]