Welcome to the Circles Chapter Mock Test, designed especially for Class 9 students following the NCERT Mathematics curriculum. This online test will help you revisit, practice, and strengthen all the important concepts from the chapter “Circles.”

1. In figure, O is the centre of the circle. The value of x is

 
 
 
 

2. In the given figure, O is centre of the circle, ∠BAO = 68°, AC is diameter of the circle, then measure of ∠BCO is

 
 
 
 

3. Given a circle with centre O and smallest chord AB is of length 3 cm, longest chord CD is of length 10 cm and chord PQ is of length 7 cm, then radius of the circle is

 
 
 
 

4. Given a circle of radius 5 cm and centre O. OM is drawn perpendicular to the chord XY. If OM = 3 cm, then length of chord XY is

 
 
 
 

5. A circle of radius 3 cm can be drawn through two points A, B such that AB = 6.2 cm

 
 

6. Given a circle with centre O and chords AB, PQ and XY. Points P, Q and O are collinear and radius of a circle is 6 cm. Then mark the correct option.

 
 
 
 

7. In a quadrilateral ABCD, bisectors of angles A, B, C and D form another quadrilateral EFGH as shown

If ∠HEF = 70° and ∠GHE = 80°, then ∠HGF and ∠GFE are

 
 
 
 

8. Diagonals of a cyclic quadrilateral are the diameters of that circle, then quadrilateral is a

 
 
 
 

9. In figure, ∠AOB = 90° and ∠ABC = 30°, then ∠CAO is equal to

 
 
 
 

10. In a circle with centre O, chords AB and CD are of lengths 5 cm each and subtend angles x° and y° at the centre of the circle respectively. Then

 
 
 
 

11. Given two concentric circles with centre O. A line cuts the circles at A, B, C, D respectively. If AB = 10 cm, then length CD is

 
 
 
 

12. In the given figure, ∠C = ∠D = 40°, then the four points A, B, C, D

 
 
 
 

13. In the given figure, O is the centre of the circle,  ∠CBE = 25° and ∠DEA = 60°. The measure of ∠ADB is

 
 
 
 

14. In the given figure, value of x is

 
 
 
 

15. Given a circle of radius r and with centre O. A point P lies in a plane such that OP < r. Then point P lies

 
 
 
 

16. The region between a chord and either of the arcs is called

 
 
 
 

17. In the given figure, the value of ∠OPR is

 
 
 
 

18. Given a chord AB of length 5 cm, of a circle with centre O. OL is perpendicular to chord AB and OL = 4 cm. OM is perpendicular to chord CD such that OM = 4 cm. Then CM is equal to

 
 
 
 

19. In how many parts a plane can divide a circle if it intersect perpendicularly?

 
 
 
 

20. In the given figure, value of y is

 
 
 
 

21. Two chords AB and CD of a circle are each at distances 4 cm from the centre. Then AB = CD

 
 

22. A chord of a circle is equal to the radius of the circle. Then the angle subtended by the chord at the point of major arc is

 
 
 
 

23. The region between an arc and the two radii, joining the centre to the end points of the arc is called a/an

 
 
 
 

24. In the given figure, ∠POQ = 150° and AB, CD are equal chords, OP ⊥ AB and OQ ⊥ CD. Then ∠BPQ is

 
 
 
 

25. Through three collinear points, a circle can be drawn.

 
 

26. In a circle with centre O, chords AB and CD are of lengths 5 cm and 6 cm respectively and subtend angles x° and y° at the centre of the circle respectively.

Then

 
 
 
 

27. In the given figure, point P lies

 
 
 
 

28. In the given figure, ∠DBC = 55°, ∠BAC = 45° then ∠BCD is

 
 
 
 

29. In the given figure, O is the centre of the circle. The value of x is

 
 
 
 

30. Given a circle of radius r and with centre O. A point P lies in a plane such that OP > r, then point P lies

 
 
 
 

Question 1 of 30