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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 Γ— Ο€ Γ— r

      Area = Ο€ Γ— rΒ²

      Let radius = r units

      Ο€ Γ— rΒ² = 6 Γ— 2 Γ— Ο€ Γ— r

      β‡’ rΒ² = 12r

      β‡’ r = 12

      Diameter = 2 Γ— 12 = 24 units

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