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    Question

    The ratio of the area of the in-circle and the

    circum-circle of a square is  
    A 1:2 Correct Answer Incorrect Answer
    B 2:1 Correct Answer Incorrect Answer
    C √2 :1 Correct Answer Incorrect Answer
    D 1:√2 Correct Answer Incorrect Answer

    Solution

    Let the side of the Square be a Radius of In-circle = a/2 Radius of the Circum-circle = (a√2)/2 Now,  (Area of In-circle)/(Area of Circum-circle) = (π(a/2)²)/(π((a√2)/2)²) = 1/2 = 1:2

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