Answer:
The answer is 55.04 square meters.
Step-by-step explanation:
The sides of a square field are 16 meters.
A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field.
So, we can say that the maximum circle that can be in the square will have the diameter of 16 meters.
That gives the radius as = 8 meters
Area of the square is = [tex]16\times16=256[/tex] square meters
Now, area of the circle = [tex]\pi r^{2}[/tex] = [tex]3.14\times8\times8=200.96[/tex] square meters
So, the area that the sprinkler does not cover is
[tex]256-200.96=55.04[/tex]square meters.
