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    Question

    A circular playground has an inner radius of 14 metres.

    A track of width 14 metres surrounds the playground. Find the cost of colouring the track at the rate of Rs. 2 per square metre.
    A Rs. 3520 Correct Answer Incorrect Answer
    B Rs. 3600 Correct Answer Incorrect Answer
    C Rs. 3696 Correct Answer Incorrect Answer
    D Rs. 3780 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Outer radius = 14 + 14 = 28 metres Area of outer circle = π × 28²
    = (22/7) × 784
    = 2464 m² Area of inner circle = π × 14²
    = (22/7) × 196
    = 616 m² Area of the track = 2464 − 616
    = 1848 m² Therefore, cost of colouring the track = 1848 × 2
    = Rs. 3696

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