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      Question

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

      rectangle and the diameter of a circle is 10:9:7. If the area of the circle is 616 cm2 , then what is the difference between the circumference of the circle and the perimeter of the rectangle?
      A 54 cm Correct Answer Incorrect Answer
      B 94 cm Correct Answer Incorrect Answer
      C 64 cm Correct Answer Incorrect Answer
      D 74 cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Area of the circle = Ο€r2 616 = 22/7 Γ— r2 r2 = 196 r = 14 cm (Since, radius cannot be negative) Radius of the circle = 14 cm Diameter of the circle = 2r = 28 cm Length of the rectangle = (28/7) Γ— 10 = 40 cm Breadth of the rectangle = (28/7) Γ— 9 = 36 cm Perimeter of the rectangle = 2 Γ— (40 + 36) = 152 cm Circumference of the circle = 2 Γ— (22/7) Γ— 14 = 88 cm Required difference = 152 – 88 = 64 cm

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