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    Question

    Find the angle subtended at the center by an arc of a

    sector whose area is 462 cm² and radius is 21 cm. (Use 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

    (A/360) × (22/7) × 21² = 462

    (A/360) × 1,386 = 462

    A = (462 × 360) / 1,386

    A = 120°

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