Area of circle as fraction of area of square?

The area of the square is 196cm squared. The area of the circle is 153.94cm squared. I need to know how to calculate what fraction the area of the circle is of the area of the square.

Help ?

Calculate the square root of the area of the square.

square root of 196 = 14.

divide that by two to get the radius of the circle
14/2 = 7

use pi*r^2 to get the area of the circle.
pi=3.14
r = 7, r squared = 49

49*3.14 = 153.86. The reason this isn’t 153.94 is because pi isn’t exactly 3.14 if you use pi to a few more digits then you’ll get 153.94. i.e. 49*3.1415926 = 153.94 approximately.

One Response to “Area of circle as fraction of area of square?”

  1. Calculate the square root of the area of the square.

    square root of 196 = 14.

    divide that by two to get the radius of the circle
    14/2 = 7

    use pi*r^2 to get the area of the circle.
    pi=3.14
    r = 7, r squared = 49

    49*3.14 = 153.86. The reason this isn’t 153.94 is because pi isn’t exactly 3.14 if you use pi to a few more digits then you’ll get 153.94. i.e. 49*3.1415926 = 153.94 approximately.
    References :

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