Class 9 Circles Quiz set 1 1. The angle in the semicircle measures 70° 90° 65° 80° 2. In the given figure, ABCD is the cyclic quadrilateral in which BC = CD and ∠CBD = 35°. Then, ∠BAD = ? 110° 70° 65° 45° 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 30 cm 9 cm 12.5 cm 25 cm 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 = ? 9 cm 7.5 cm 15 cm 12 cm 5. An equilateral triangle of side 9 cm is inscribed in a circle. The radius of the circle is 6 cm 3 cm 3√2 cm 3√3 cm 6. In the given figure, ΔABC and ΔDBC are inscribed in a circle such that ∠BAC = 60° and ∠DBC = 50°. then, ∠BCD = ? 60° 70° 80° 50° 7. In the given figure, O is the centre of a circle. If ∠AOB = =100° and ∠AOC = 90°, then ∠BAC = ? 80° 95° 85° 75° 8. Angles in the same segment of a circle area are none of these Complementary Supplementary Equal 9. In the given figure, BOC is a diameter of a circle and AB = AC. Then, ∠ABC = ? 45° 90° 60° 30° 10. In the given figure, O is the centre of a circle and ∠AOC = 120°. Then, ∠BDC = ? 55° 30° 60° 45° 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° 45° 50° 70° 60° 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 √69 cm 23 cm 12 cm 11.5 cm 13. In figure, sides AB and AD of a quadrilateral ABCD are produced to E and F respectively. If ∠CBE = 100°, then find ∠CDF = ? 80° 100° 45° 70° 14. In the given figure, O is the centre of a circle and ∠OAB = 50°. Then, ∠BOD = ? 120° 150° 130° 100° 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 = ? 100° 80° 40° 50° Loading …

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