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    Question

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

    rectangle and the diameter of a circle is 14:5:7. 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 64 cm Correct Answer Incorrect Answer
    B 60 cm Correct Answer Incorrect Answer
    C 69 cm Correct Answer Incorrect Answer
    D 61 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Area of the circle = πr2 616 = 22/7 × 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) × 14 = 56 cm Breadth of the rectangle = (28/7) × 5 = 20 cm Perimeter of the rectangle = 2 × (56 + 20) = 152 cm Circumference of the circle = 2 × (22/7) × 28 = 88 cm Required difference = 152 – 88 = 64 cm

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