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      Question

      A circle has its area eleven times greater than its

      circumference in numeric value. Find the circle’s diameter.
      A 50 units Correct Answer Incorrect Answer
      B 32 units Correct Answer Incorrect Answer
      C 44 units Correct Answer Incorrect Answer
      D 22 units Correct Answer Incorrect Answer

      Solution

      ATQ,

      Circumference = 2 × π × r

      Area = π × r²

      Let radius = r units

      π × r² = 11 × 2 × π × r

      ⇒ r² = 22r

      ⇒ r = 22

      Diameter = 2 × 22 = 44 units

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