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      Question

      The ratio of the length of a rectangle, breadth of the

      rectangle and the diameter of a circle is 13:11:8. If the area of the circle is 154 cm2 , then what is the difference between the circumference of the circle and the perimeter of the rectangle?
      A 45 cm Correct Answer Incorrect Answer
      B 50 cm Correct Answer Incorrect Answer
      C 40 cm Correct Answer Incorrect Answer
      D 60 cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Area of the circle = Ο€r2 154 = 22/7 Γ— r2 r2 = 49 r = 7 cm (Since, radius cannot be negative) Radius of the circle = 7 cm Diameter of the circle = 2r = 14 cm Length of the rectangle = (14/8) Γ— 13 = 22.75 cm Breadth of the rectangle = (14/8) Γ— 11 = 19.25 cm Perimeter of the rectangle = 2 Γ— (22.75 + 19.25) = 84 cm Circumference of the circle = 2 Γ— (22/7) Γ— 7 = 44 cm Required difference = 84 – 44 = 40 cm

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