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      Question

      If the perimeter of a square is 88 cm and the

      circumference of a circle 88cm, then which figure has larger area and by how much?
      A Square, 132cm² Correct Answer Incorrect Answer
      B Circle, 132cm² Correct Answer Incorrect Answer
      C Both have equal area Correct Answer Incorrect Answer
      D Square, 64cm² Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Perimeter of Square = 88cm 4 × side = 88 Side = 22cm Area of Square = (side)² = (22)² = 484 cm² Now, Circumference of the circle = 88cm 2πr = 88 2 × 22/7 × r = 88 r = 14cm Area of Circle = πr² = 22/7 × 14 × 14 = 616cm² Required Difference = 616 – 484 = 132cm²

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