Circles Class 9 MCQs Questions with Answers

1. ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 140º, then ∠BAC is equal to: 

2. If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is:

3. If there are two separate circles drawn apart from each other, then the maximum number of common points they have:

4. The longest chord of the circle is:

5. If AB and CD are two chords of a circle intersecting at point E, as per the given figure. Then:

6. In the given figure, if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal to:

7. In the given figure, if ∠OAB = 40º, then ∠ACB is equal to

8. In the given figure, ∠AOB = 90º and ∠ABC = 30º, then ∠CAO is equal to:

9. In the below figure, the value of ∠ADC is

10. In the given figure, if ∠ABC = 20º, then ∠AOC is equal to:

11. Equal _____ of the congruent circles subtend equal angles at the centers.

12. The angle subtended by the diameter of a semi-circle is:

13. In the given figure, if AOB is a diameter of the circle and AC = BC, then ∠CAB is equal to:

14. If a line intersects two concentric circles with centre O at A, B, C and D, then:

15. In the given figure, if ∠DAB = 60º, ∠ABD = 50º, then ∠ACB is equal to:

16. If chords AB and CD of congruent circles subtend equal angles at their centres, then:

17. AD is the diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is

18. In the given figure, find angle OPR.

19. In the given figure, BC is the diameter of the circle and ∠BAO = 60º. Then ∠ADC is equal to

20. The center of the circle lies in______ of the circle.