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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 13:10, respectively. If the area of the rectangle is 25480 cm2, then find the radius of the circle.
      A 102.45cm Correct Answer Incorrect Answer
      B 95cm Correct Answer Incorrect Answer
      C 101.6cm Correct Answer Incorrect Answer
      D 86cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the length and breadth of the rectangle be 10x cm and 10x cm, respectively According to the question, 13x ร— 10x = 25480 ย x2 = 25480/130 = 196 ย x = 14 Therefore, perimeter of the rectangle = 2 ร— (13x + 10x) = 644cm Let the radius of the circle be โ€˜rโ€™ cm. According to the question, 2ฯ€r = 644 Or r = 644ร— (7/44) = 102.45cm

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