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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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