vanessasanmarti5795 vanessasanmarti5795
  • 12-03-2018
  • Mathematics
contestada

A square lawn has area 512 ft squared .ft. a sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. what is the radius of the​ circle?

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sqdancefan
sqdancefan sqdancefan
  • 15-03-2018
The side length of the square is √512 ft = 16√2 ft. Then the radius of the circle is that distance divided by √2, so is 16 feet.
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Blacklash
Blacklash Blacklash
  • 03-07-2019

Answer:

Radius of circle = 16 ft

Step-by-step explanation:

Refer figure for the arrangement.

Area of square = 512 ft²

Side of square [tex]=\sqrt{512}=22.63ft[/tex]

From figure see that

      Diagonal of square = Diameter of circle

       [tex]\texttt{Diameter of circle}=\sqrt{22.63^2+22.63^2}=32ft[/tex]

     Radius of circle [tex]=\frac{32}{2}=16ft[/tex]

Ver imagen Blacklash
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