Class 9 Circles Quiz set 1

1. In the given figure, BOC is a diameter of a circle and AB = AC. Then, ∠ABC = ?

 
 
 
 

2. In the given figure, O is the centre of a circle and ∠AOC = 120°. Then, ∠BDC = ?

 
 
 
 

3. In the given figure, ΔABC and ΔDBC are inscribed in a circle such that ∠BAC = 60° and ∠DBC = 50°. then, ∠BCD = ?

 
 
 
 

4. In the given figure, ABCD is the cyclic quadrilateral in which BC = CD and ∠CBD = 35°. Then, ∠BAD = ?

 
 
 
 

5. In the given figure, O is the centre of a circle and ∠OAB = 50°. Then, ∠BOD = ?

 
 
 
 

6. A chord is at distance of 8 cm from the centre of a circle of radius 17 cm. The length of the chord is

 
 
 
 

7. In figure, sides AB and AD of a quadrilateral ABCD are produced to E and F respectively. If ∠CBE = 100°, then find ∠CDF = ?

 
 
 
 

8. In the given figure, AB is a chord of a circle with centre O and BOC is a diameter. If OD ⊥ AB such that OD = 6 cm, then AC = ?

 
 
 
 

9. In the given figure, O is the centre of a circle. If ∠AOB = =100° and ∠AOC = 90°, then ∠BAC = ?

 
 
 
 

10. The angle in the semicircle measures

 
 
 
 

11. In the given figure, O is the centre of a circle. If ∠OAB = 40° and C is a point on the circle, then ∠ACB = ?

 
 
 
 

12. Angles in the same segment of a circle area are

 
 
 
 

13. In the given figure, O is the centre of a circle in which ∠AOC = 100° side AB of quadrilateral OABC has been produced to D. Then, ∠CBD = ?

50°

 
 
 
 

14. An equilateral triangle of side 9 cm is inscribed in a circle. The radius of the circle is

 
 
 
 

15. The radius of a circle is 13 cm and the length of one of its chord is 10 cm. The distance of the chord from the centre is

 
 
 
 

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