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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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