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      Question

      A copper wire is bent in the form of a square with an

      area of 121 cm². If the same wire is bent in the form of a circle, the area of the circle will be:  (Take π = 22/7)
      A 145 cm² Correct Answer Incorrect Answer
      B 154 cm² Correct Answer Incorrect Answer
      C 165 cm² Correct Answer Incorrect Answer
      D 172 cm² Correct Answer Incorrect Answer

      Solution

      Area of square = a² = 121 => side a = 11 cm. Length of wire (Perimeter of square) = 4a = 44 cm. Circumference of circle = 2πr = 44. 2 × (22/7) × r = 44 44r/7 = 44 => r = 7 cm. Area of circle = πr² = (22/7) × 7 × 7 = 154 cm².

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