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    Question

    A circular garden has an inner radius of 21 metres. A

    path of width 14 metres surrounds the garden. Find the cost of paving the path at the rate of Rs. 4 per square metre.
    A Rs. 8960 Correct Answer Incorrect Answer
    B Rs. 9120 Correct Answer Incorrect Answer
    C Rs. 9856 Correct Answer Incorrect Answer
    D Rs. 9600 Correct Answer Incorrect Answer

    Solution

    Outer radius = 21 + 14 = 35 metres Area of outer circle = π × 35²
    = (22/7) × 1225
    = 3850 m² Area of inner circle = π × 21²
    = (22/7) × 441
    = 1386 m² Area of the path = 3850 − 1386
    = 2464 m² Therefore, cost of paving the path = 2464 × 4
    = Rs. 9856

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