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    Question

    The ratio of the length of a rectangle, breadth of the rectangle and the diameter of a circle is 10:8:4. If the area of the circle is 154 cm^2 , then what is the difference between the circumference of the circle and the perimeter of the rectangle?

    A 82 cm Correct Answer Incorrect Answer
    B 80 cm Correct Answer Incorrect Answer
    C 87 cm Correct Answer Incorrect Answer
    D 92 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Area of the circle = πr2 154 = 22/7 × 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 = (14/4) × 10 = 35 cm Breadth of the rectangle = (14/4) × 8 = 28 cm Perimeter of the rectangle = 2 × (35 + 28) = 126 cm Circumference of the circle = 2 × (22/7) × 7 = 44 cm Required difference = 126 – 44 = 82 cm

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