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      Question

      A wire is bent to form a square which covers an area of 36

      cm². Later, it is reshaped into a circle. What is the area enclosed by the circle? (Use π = 3)
      A 25 cm² Correct Answer Incorrect Answer
      B 30 cm² Correct Answer Incorrect Answer
      C 36 cm² Correct Answer Incorrect Answer
      D 48 cm² Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let length of one side of the square = ‘a’ cm

      So, a² = 36

      Or, a = 6 (We consider only the positive root as length cannot be negative)

      Length of the wire = Perimeter of the square = 6 × 4 = 24 cm

      Circumference of the circle = 24 cm

      Let the radius of the circle = ‘r’ cm

      So, 24 = 2 × π × r

      Or, r = (24/6)

      Or, r = 4 cm

      Area of circle = πr² = 3 × 4 × 4 = 48 cm²

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