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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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