Circles

Class 9 · Mathematics

61 questions29 easy19 medium13 hard

Sample Questions

Q1.For a cyclic quadrilateral ABCD, if ∠A = 80°, then ∠C equals:

  • A80°
  • B100°
  • C280°
  • D90°

Q2.The central angle subtended by a minor arc of 60° means the arc covers what fraction of the circle?

  • A1/6
  • B1/4
  • C1/3
  • D1/2

Q3.In the figure, O is the centre of a circle. If ∠OAB = 30°, find ∠ACB (where C is on the major arc).

  • A30°
  • B60°
  • C90°
  • D120°

Q4.The angle subtended by arc PQ at the centre is 140°. The angle subtended by PQ at any point on the major arc is:

  • A140°
  • B70°
  • C110°
  • D220°

Q5.In a cyclic quadrilateral ABCD, the diagonal AC bisects ∠A. If ∠DAC = 30° and ∠ABC = 70°, find ∠ACD.

  • A20°
  • B30°
  • C40°
  • D50°

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

Angle subtended by arcArc and chord relationshipChord propertiesCircle basicsCyclic quadrilateralEqual chordsInscribed angle theoremPerpendicular from centre to chordTangent to circle

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