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      Question

      At the centre of a circle of 20 cm radius, the angle

      made by an arc of 24(4/9) cm length is
      A 70° Correct Answer Incorrect Answer
      B 75° Correct Answer Incorrect Answer
      C 60° Correct Answer Incorrect Answer
      D 55° Correct Answer Incorrect Answer

      Solution

      Here, radius r = 20 cm, arc length s = 24(4/9) cm = 220/9 s = rθ ⇒ θ = 220/(9 × 20) ⇒ θ = 11/9 rad => 11/9 × 180/π = 220/3.14 => 70°

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