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    Question

    Find the perimeter of a sector which forms a central

    angle of 150° in a circle of radius 21 cm. (Use π = 22/7)
    A 91 cm Correct Answer Incorrect Answer
    B 98 cm Correct Answer Incorrect Answer
    C 97 cm Correct Answer Incorrect Answer
    D 84 cm Correct Answer Incorrect Answer

    Solution

    Arc length = (θ / 360) × 2πr = (150 / 360) × 2 × (22 / 7) × 21 = (5 / 12) × 132 = 55 cm Perimeter of sector = Arc length + 2 × Radius = 55 + 2 × 21 = 55 + 42 = 97 cm

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