Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and--
Area of a square is equal to the area of a circle. What is the circumference of the circle ?
I. The diagonal of the square is x inches.
II. The side of the square is y inches.
I : Diagonal of square = x
=> Side = $$\frac{x}{\sqrt{2}}$$
Now, area of square = area of circle. Let radius be r
$$\frac{x^{2}}{2}$$ = $$\pi$$*r*r
r = $$\frac{x}{\sqrt{2*\pi}}$$
Now, since we know the radius, we can find the circumference.
Thus I alone is sufficient.
II : Side of square = y
Since side is known, following the above procedure, we can find the radius and thus circumference.
Thus, II alone is sufficient.
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