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


    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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