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    Question

    Find the perimeter of a sector which forms a central

    angle of 72° in a circle of radius 35 cm . (Use π = 22/7)
    A 114 cm Correct Answer Incorrect Answer
    B 104 cm Correct Answer Incorrect Answer
    C 92 cm Correct Answer Incorrect Answer
    D 98 cm Correct Answer Incorrect Answer

    Solution

    Arc length = (θ / 360) × 2πr = (72 / 360) × 2 × (22 / 7) × 35 = (1 / 5) × 220 = 44 cm Perimeter of sector = Arc length + 2 × Radius = 44 + 2 × 35 = 44 + 70 = 114 cm

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