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    Question

    In a circular field, the area is six times its

    circumference in terms of numerical value. Calculate the diameter of the field.
    A 28 units Correct Answer Incorrect Answer
    B 40 units Correct Answer Incorrect Answer
    C 36 units Correct Answer Incorrect Answer
    D 24 units Correct Answer Incorrect Answer

    Solution

    ATQ,

    Circumference = 2 × π × r

    Area = π × r²

    Let radius = r units

    π × r² = 6 × 2 × π × r

    ⇒ r² = 12r

    ⇒ r = 12

    Diameter = 2 × 12 = 24 units

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