The sides of a square field are 32 meters. a sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. how much of the field is not reached by the sprinkler? round your answer to the nearest hundredth. use 3.14 for π.

You find the area not touched by the sprinkler by subtracting the area of the circle from the area of the square.  The area of the square is 32*32 which is 1024.  The area of the circle is found by multiplying 3.14 by the radius squared.  Our radius is half the diameter of 32, so r = 16.  A=3.14(16)(16) which gives us an area of the circle to be 803.84.  Subtracting the 2 areas, square minus circle, is 1024-803.84=220.16 meters squared.

The answer is: a = about 63.59ft2 for 15