Question

the sides of a square field are 12 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 answers to the nearest hundredth

Answer 1

Diameter=side

find area of field (square) and area of sprinkler (circle)


ara of square=side^2
area of circle=pir^2

area of square=12^2=144

area of circle=pir^2
d/2=r
12/2=6=r
area=pi6^2
area=36pi
aprox pi=3.14
area=113.04


area wasted=area of field-arrea of sprinlker
area wasted=144-113.04=30.96 m^2