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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 11:10, respectively. If the area of the rectangle is 24750 cm 2 , then find the radius of the circle.
      A 96.8cm Correct Answer Incorrect Answer
      B 76.46cm Correct Answer Incorrect Answer
      C 100.2cm Correct Answer Incorrect Answer
      D 46.6cm Correct Answer Incorrect Answer

      Solution

      Let the length and breadth of the rectangle be 10x cm and 10x cm, respectively According to the question, 11x Γ— 10x = 24750 => x2Β = 24750/110 = 225 => x = 15 Therefore, perimeter of the rectangle = 2 Γ— (11x + 10x) = 630cm Let the radius of the circle be β€˜r’ cm. According to the question, 2Ο€r = 630 Or r = 630Γ— (7/44) = 100.22cm

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