• Question

      The circumference of a circle is equal to the perimeter of a rectangle whose length and breadth are in ratio 10:11, respectively. If the area of the rectangle is 13310 cm2 , then find the radius of the circle.

      A 73.5 cm Correct Answer Incorrect Answer
      B 52.5 cm Correct Answer Incorrect Answer
      C 59.5 cm Correct Answer Incorrect Answer
      D 38.5 cm Correct Answer Incorrect Answer

      Solution

      Let the length and breadth of the rectangle be 10x cm and 11x cm, respectively
      According to the question,
      10x × 11x = 13310
      => x2 = 13310/110 = 121
      => x = 11
      Therefore, perimeter of the rectangle = 2 × (10x + 11x) = 462 cm
      Let the radius of the circle be ‘r’ cm
      According to the question,
      2πr = 462
      Or, r = 462 × (7/44) = 73.5 cm

      Practice Next

      Relevant for Exams:

      ×
      ×