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      Question

      The circumference of a circle is equal to the perimeter

      of a rectangle whose length and breadth are in ratio 5:4, respectively. If the area of the rectangle is 2420 cm2 , then find the radius of the circle.
      A 28 cm Correct Answer Incorrect Answer
      B 52.5 cm Correct Answer Incorrect Answer
      C 31.5 cm Correct Answer Incorrect Answer
      D 49 cm Correct Answer Incorrect Answer
      E 50.5 cm Correct Answer Incorrect Answer

      Solution

      Let the length and breadth of the rectangle be 5x cm and 4x cm, respectively
      According to the question,
      5x × 4x = 2420
      => x2 = 2420/20 = 121
      => x = 11
      Therefore, perimeter of the rectangle = 2 × (5x + 4x) = 198 cm
      Let the radius of the circle be ‘r’ cm
      According to the question,
      2πr = 198
      Or, r = 198 × (7/44) = 31.5 cm

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