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      Question

      The area of the smallest circle which contains a square

      of area 4 cm2 inside is
      A π cm² Correct Answer Incorrect Answer
      B 2 π cm² Correct Answer Incorrect Answer
      C 3 π cm² Correct Answer Incorrect Answer
      D 4 π cm² Correct Answer Incorrect Answer

      Solution

      Side of the square = √4 = 2 cm Diagonal of the square = 2 √2 The diameter of the circle = Diagonal of the square = 2√2 Radius of the circle = 2√2/2 = √2 ∴ Area of the circle = π × (√ 2)2 = 2π

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