The sides of a square field are 28 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

Answer :

Answer:

The area of he field that is not reached by the sprinkler = 168.56  [tex]m^{2}[/tex]

Step-by-step explanation:

Side of the square field (a) = 28 m

Diameter of circular area (D) = 28 m

Radius of circular area (r)= 14 m

Area made by  square field [tex]A_{1} = a^{2}[/tex]

[tex]A_{1} = 28^{2}[/tex] = 784 [tex]m^{2}[/tex]

Area made by circular field [tex]A_{2} = \pi r^{2}[/tex]

[tex]A_{2} = \pi 14^{2}[/tex]

[tex]A_{2}[/tex] = 615.44 [tex]m^{2}[/tex]

Field is not reached by the sprinkler A' = [tex]A_{1} - A_{2}[/tex]

Put the values of [tex]A_{1}[/tex] & [tex]A_{2}[/tex]

A' = 784 - 615.44

A' = 168.56  [tex]m^{2}[/tex]

Therefore the area of he field that is not reached by the sprinkler = 168.56  [tex]m^{2}[/tex]

inweke4154

Answer:

168.56

Step-by-step explanation:

The answer is on the picture below. :)

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