Respuesta :
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.
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]
