CBSE  /  Class 9  /  Maths  /  Circles

  • 1. 
    The radius of a circle is 13 cm and the length of one of its chords is 10 cm. The distance of the chord from the centre is

  • 11.5 cm
  • 12 cm
  • \(\sqrt{69}\) cm
  • 23 cm

  • 2. 
    A chord is at a distance of 8 cm from the centre of a circle of radius 17 cm. The length of the chord is

  • 25 cm
  • 12.5 cm
  • 30 cm
  • 9 cm

  • 3. 
    In the given figure, BOC is a diameter of a circle and AB = AC. Then, ∠ABC =
    MCQ Questions for Class 9 Maths Chapter 10 Circles with Answers 1

  • 30°
  • 45°
  • 60°
  • 90°

  • 4. 
    In the given figure, O is the centre of a circle. If ∠OAB = 40° and C is a point on the circle, then ∠ACB =
    MCQ Questions for Class 9 Maths Chapter 10 Circles with Answers 2

  • 40°
  • 50°
  • 80° 
  • 100°

  • 5. 
    In the given figure, BOC is a diameter of a circle with centre O. If AB and CD are two chords such that AB || CD and AB = 10 cm, then CD =
    MCQ Questions for Class 9 Maths Chapter 10 Circles with Answers 4

  • 5 cm
  • 12.5 cm
  • 15 cm
  • 10 cm

  • 6. 
    In the given figure, AB is a chord of a circle with centre O and AB is produced to C such that BC = OB. Also, CO is joined and produced to meet the circle in D. If ∠ACD = 25°, then ∠AOD =
    MCQ Questions for Class 9 Maths Chapter 10 Circles with Answers 5

  • 50°
  • 75°
  • 90°
  • 100°

  • 7. 
    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 =
    MCQ Questions for Class 9 Maths Chapter 10 Circles with Answers 6

  • 9 cm
  • 12 cm
  • 15 cm
  • 7.5 cm

  • 8. 
    An equilateral triangle of side 9 cm is inscribed a circle. The radius of the circle is

  • 3 cm
  • 3√2 cm
  • 3√3 cm
  • 6 cm

  • 9. 
    In the given figure, ΔABC and ΔDBC are inscribed in a circle such that ∠BAC = 60° and ∠DBC = 50°. then, ∠BCD =
    MCQ Questions for Class 9 Maths Chapter 10 Circles with Answers 7

  • 50°
  • 60°
  • 70°
  • 80°

  • 10. 
    In the given figure, O is the centre of a circle. If ∠AOB = =100° and ∠AOC = 90°, then ∠BAC =
    MCQ Questions for Class 9 Maths Chapter 10 Circles with Answers 8

  • 85°
  • 80°
  • 90°
  • 75°
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