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    5. The radius of a circle is 14 cm, and the angle subtended by a sector at the center of the circle is

    Question

    The radius of a circle is 14 cm, and the angle subtended

    by a sector at the center of the circle is 120°. Find the area of the sector.
    A 102.67 cm² Correct Answer Incorrect Answer
    B 153.93 cm² Correct Answer Incorrect Answer
    C 180 cm² Correct Answer Incorrect Answer
    D 205.3 cm² Correct Answer Incorrect Answer

    Solution

    Area of the sector = (θ / 360) × π r² Area = (120 / 360) × (22 / 7) × (14)² = (1/3) × (22 / 7) × 196 = 205.3 cm².

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