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    Question

    The total area of a circle and a square is 5450

    cm2; the diameter of the circle is 70 cm, what is the difference between the circumference of the circle and perimeter of the square?
    A 120 cm Correct Answer Incorrect Answer
    B 60 cm Correct Answer Incorrect Answer
    C 75 cm Correct Answer Incorrect Answer
    D 50 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    r = 35 cm, side of the square = a cm As per the question, 22/7 × r2 + a2 = 5450 22/7 × (35)2 + a2 = 5450 3850 + a2 = 5450 a2 = 1600 a = 40cm Required Difference = 2 × 22/7 × 35 - 4 × 40 = 220 – 160 = 60cm

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