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    Mathematics
    Grade9
    Easy

    Question

    If the circumference of a circle and the perimeter of a square are equal, then

    1. Area of the circle < area of the square    
    2. Area of the circle = area of the square    
    3. Area of the circle > area of the square    
    4. None of these    

    hintHint:

    circumference = 2 x 3.14 x r
    perimeter = 4a
    area = a x a (square)
    area = 3.14 x r2

    The correct answer is: Area of the circle > area of the square

      2×pi×r = 4×a (r = radius of circle; a = side of square)
      r = fraction numerator 4 a over denominator 2 cross times pi end fraction = fraction numerator 2 cross times a over denominator pi end fraction
      Area (circle) = pi× r ×r = fraction numerator 4 cross times a cross times a over denominator pi end fraction
      Area (square) = a×a
      A(circle) = 1.3 ×A(square)

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