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    Question

    A circular pond is surrounded by a path 2 meters wide.

    The diameter of the pond is 28 meters. Find the cost of constructing the path at тВ╣140 per square meter.
    A тВ╣25,600 Correct Answer Incorrect Answer
    B тВ╣26,400 Correct Answer Incorrect Answer
    C тВ╣27,400 Correct Answer Incorrect Answer
    D тВ╣28,600 Correct Answer Incorrect Answer

    Solution

    Radius of the pond = 28 / 2 = 14 meters. Outer radius (including path) = 14 + 2 = 16 meters. Area of the path = Area of outer circle - Area of the pond. Area of outer circle = ╧А(16┬▓) = (22/7) ├Ч 256 Area of the pond = ╧А(14┬▓) = (22/7) ├Ч 196┬а Area of the path = (22/7) ├Ч (256 тАУ 196) m┬▓. = 60*22/7 Cost = 60*22/7 ├Ч 140 = тВ╣26,400 Correct answer: b) тВ╣26,400.

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