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    Question

    The radius of a circle is increased by 20%. Find the

    percentage increase in the area of the circle.
    A 20% Correct Answer Incorrect Answer
    B 40% Correct Answer Incorrect Answer
    C 44% Correct Answer Incorrect Answer
    D 60% Correct Answer Incorrect Answer
    E 25% Correct Answer Incorrect Answer

    Solution

    The area of a circle is A = ╧Аr┬▓. If the radius increases by 20%,┬а the new radius is 1.2r. The new area is A' = ╧А(1.2r)┬▓┬а = 1.44╧Аr┬▓. The percentage increase in area = (1.44 - 1) ├Ч 100 = 44%. Correct answer: c) 44%

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