The equation of a circle is written as (x – h)^2 + (y – k)^2 = r^2
h and k are the center point and r is the radius.
In the given equation h = -6 and k = 7 and r would be the square root of 81, which is 9.
Center (-6,7)
Radius = 9
The required center is [tex](-6,7)[/tex] and the radius is 9 units.
Given equation is,
[tex](x + 6)^2 + (y-7)^2 = 81[/tex]....(1)
Equation of the circle: The general equation of the circle with the center (a,b) and the radius r is represented by,
[tex](x-a)^2+(y-b)^2=r^2[/tex]...(2)
We can write the given equation as,
[tex](x + 6)^2 + (y-7)^2 = (9)^2[/tex]
Comparing equations (1) and (2) we get,
The Centre of the given circle is [tex](-6,7)[/tex]
The radius of the given circle is 9 units.
Learn more about the equation of the circle:
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