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    Question

    A circle has a radius of 21 cm, and a sector makes an

    angle of 60° at the center. Find the area of the sector and the length of the arc (use π = 22/7).
    A Area = 231 cm², Arc = 22 cm Correct Answer Incorrect Answer
    B Area = 220 cm², Arc = 21 cm Correct Answer Incorrect Answer
    C Area = 232 cm², Arc = 23 cm Correct Answer Incorrect Answer
    D Area = 240 cm², Arc = 24 cm Correct Answer Incorrect Answer

    Solution

    Area of sector = (θ / 360) * π * r² = (60 / 360) * (22/7) * 21 * 21 = (1/6) * 1386 = 231 cm² Length of arc = (θ / 360) * 2 * π * r = (60 / 360) * 2 * (22/7) * 21 = (1/6) * 132 = 22 cm Correct Answer: a) Area = 231 cm², Arc = 22 cm

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