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      Question

      If the numerical value of the area of a circle is seven

      times that of its circumference, determine the diameter.
      A 28 units Correct Answer Incorrect Answer
      B 10 units Correct Answer Incorrect Answer
      C 36 units Correct Answer Incorrect Answer
      D 21 units Correct Answer Incorrect Answer

      Solution

      ATQ,

      Circumference = 2 × π × r

      Area = π × r²

      Let radius = r units

      Then, π × r² = 7 × 2 × π × r

      ⇒ r² = 14r

      ⇒ r = 14

      Diameter = 2 × 14 = 28 units

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