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    • Question

      A circular sector has a radius of 14 cm and an area of 154

      cm². What is the angle formed at the center by the arc? (Take π = 22/7)
      A 120° Correct Answer Incorrect Answer
      B 50° Correct Answer Incorrect Answer
      C 90° Correct Answer Incorrect Answer
      D 70° Correct Answer Incorrect Answer

      Solution

      ATQ,

      Area of sector = (A/360) × π × radius²

      So, (A/360) × (22/7) × 14² = 154

      ⇒ (A/360) × 616 = 154

      ⇒ A = (154 × 360) / 616

      ⇒ A = 90°

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