The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.
What is the general equation of a circle?
The equation of a circle is given by the formula,
[tex](x-a)^2+(y-b)^2=r^2\\[/tex]
where (a,b) is the coordinate of the center of the circle, and r is the radius of the circle.
As the equation of the circle is given to us, therefore, if we compare this equation with the general equation of the circle.
[tex](x-a)^2+(y-b)^2=r^2\\\\(x-4)^2+(y-12)^2=9\\\\(x-4)^2+(y-12)^2=3^2[/tex]
If we observe this equation we will get that the value of (a,b) is (4,12). Thus, The equation indicates that the center of the window is 12 feet from the ground
Further, the distance for which the window spans is the diameter of the window. And as the radius of the window is given, therefore, the diameter of the window will be twice the radius, which is equal to 6 feet.
Hence, The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.
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