# Class 9 Circles Quiz set 1

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

2. The angle in the semicircle measures

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

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

5. 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°

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

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

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

9. 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 = ?

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

11. 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

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

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

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

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