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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 ╧А = 22/7).
    A Area = 231 cm┬▓, Arc = 22 cm Correct Answer Incorrect Answer
    B Area = 220 cm┬▓, Arc = 21 cm Correct Answer Incorrect Answer
    C Area = 232 cm┬▓, Arc = 23 cm Correct Answer Incorrect Answer
    D Area = 240 cm┬▓, Arc = 24 cm Correct Answer Incorrect Answer

    Solution

    Area of sector = (╬╕ / 360) * ╧А * r┬▓ = (60 / 360) * (22/7) * 21 * 21 = (1/6) * 1386 = 231 cm┬▓ Length of arc = (╬╕ / 360) * 2 * ╧А * r = (60 / 360) * 2 * (22/7) * 21 = (1/6) * 132 = 22 cm Correct Answer: a) Area = 231 cm┬▓, Arc = 22 cm

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