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    Question

    Find the perimeter of a sector which forms a central

    angle of 120Β° in a circle of radius 21 cm. (Use Ο€ = 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 = (ΞΈ / 360) Γ— 2Ο€r = (120 / 360) Γ— 2 Γ— (22 / 7) Γ— 21 = (1 / 3) Γ— 132 = 44 cm Perimeter of sector = Arc length + 2 Γ— Radius = 44 + 2 Γ— 21 = 44 + 42 = 86 cm

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