The total area of a circle and a square is 5450 cm^{2}; the diameter of the circle is 70 cm, what is the difference between the circumference of the circle and perimeter of the square?

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

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