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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 = 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) × 10 = 40 cm Breadth of the rectangle = (28/7) × 9 = 36 cm Perimeter of the rectangle = 2 × (40 + 36) = 152 cm Circumference of the circle = 2 × (22/7) × 14 = 88 cm Required difference = 152 – 88 = 64 cm

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