Question 2 - End-of-Chapter Exercises - Chapter 5 Class 9 - I’m Up and Down, and Round and Round (Ganita Manja
Last updated at May 26, 2026 by Teachoo
End-of-Chapter Exercises
Question 1
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Class 9
Chapter 5 Class 9 - I’m Up and Down, and Round and Round (Ganita Manja
- Definitions
- Symmetries of Circle
- Number of Circles
- Exercise Set 5.1
- Think, Draw and Infer (Page 98)
- Angle Subtended by Chords
- Exercise Set 5.2
- Mid-points and Perpendicular Bisectors of Chords
- Exercise Set 5.3
- Distance of Chords from the Centre
- Exercise Set 5.4
- Distance of unequal chords from center
- Exercise Set 5.5
- Angle subtended by an arc
- Exercise Set 5.6
- Concyclicity of Points and Cyclic Quadrilateral
- Theorems (and their Proofs)
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End-of-Chapter Exercises
Transcript
Question 2 An arc of a circle subtends an angle of 70^∘ at the centre. What is the measure of the angle subtended by the arc at a point on the circle? Drawing figure Let arc AB subtend ∠ AOB = 70° at the center We need to find measure of the angle subtended by the arc at a point on the circle Let the other point be X So, we need to find ∠ AXB From Theorem 9 The angle subtended by an arc at the centre of the circle is double the angle subtended by the arc at any point on the circle outside the arc. So, we can write ∠ AOB = 2 × ∠ AXB Putting values 70° = 2 × ∠ AXB (70°)/2 = ∠ AXB 35° = ∠ AXB ∠ AXB = 35°
