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    Question

    Find the perimeter of a sector which forms a central

    angle of 120° in a circle of radius 21 cm. (Use π = 22/7)
    A 84 cm Correct Answer Incorrect Answer
    B 90 cm Correct Answer Incorrect Answer
    C 86 cm Correct Answer Incorrect Answer
    D 98 cm Correct Answer Incorrect Answer

    Solution

    Arc length = (θ / 360) × 2πr = (120 / 360) × 2 × (22 / 7) × 21 = (1 / 3) × 132 = 44 cm Perimeter of sector = Arc length + 2 × Radius = 44 + 2 × 21 = 44 + 42 = 86 cm

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