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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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