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    Question

    The numerical value of the area of a circular park is ten

    times the numerical value of its perimeter. Find the diameter of the park.
    A 28 units Correct Answer Incorrect Answer
    B 40 units Correct Answer Incorrect Answer
    C 36 units Correct Answer Incorrect Answer
    D 21 units Correct Answer Incorrect Answer

    Solution

    ATQ,

    Perimeter (circumference) = 2 × π × r

    Area = π × r²

    Let radius = r units

    π × r² = 10 × 2 × π × r

    ⇒ r² = 20r

    ⇒ r = 20

    Diameter = 2 × 20 = 40 units

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