# Class 9 Circles Quiz set 1

1. The angle in the semicircle measures

2. In the given figure, ABCD is the cyclic quadrilateral in which BC = CD and ∠CBD = 35°. Then, ∠BAD = ? 3. A chord is at distance of 8 cm from the centre of a circle of radius 17 cm. The length of the chord is

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

6. In the given figure, ΔABC and ΔDBC are inscribed in a circle such that ∠BAC = 60° and ∠DBC = 50°. then, ∠BCD = ? 7. In the given figure, O is the centre of a circle. If ∠AOB = =100° and ∠AOC = 90°, then ∠BAC = ? 8. Angles in the same segment of a circle area are

9. In the given figure, BOC is a diameter of a circle and AB = AC. Then, ∠ABC = ? 10. In the given figure, O is the centre of a circle and ∠AOC = 120°. Then, ∠BDC = ? 11. 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°

12. 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

13. In figure, sides AB and AD of a quadrilateral ABCD are produced to E and F respectively. If ∠CBE = 100°, then find ∠CDF = ? 14. In the given figure, O is the centre of a circle and ∠OAB = 50°. Then, ∠BOD = ? 15. In the given figure, O is the centre of a circle. If ∠OAB = 40° and C is a point on the circle, then ∠ACB = ? 