Well, honey, the center of that circle is simply the point (3, 9). You see, the equation you provided is in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle. So, in this case, the center is at (3, 9). That's all there is to it, sugar.
If you mean: (x-3)^2 +(y-9)^2 = 16 then the center of the circle is at (3, 9)
(-7,5)
x2 + y2 = 16
(x+7)2+(y+5)2 = 16 Centre of circle: (-7, -5) Radius: 4
center 5,-3 radius 4
The center of the circle is at (-7, 5)
If you mean: (x-3)^2 +(y-9)^2 = 16 then the center of the circle is at (3, 9)
(-7,5)
x2 + y2 = 16
It's a circle. The equation of a circle is x^2+y^2=r^2. So the equation you've given is a circle with a radius of 4 and, since there are no modifications to the x or y values, the center of the circle is located at (0,0).
(x+7)2+(y+5)2 = 16 Centre of circle: (-7, -5) Radius: 4
center 5,-3 radius 4
(x-0)² + (y-0)² = r²
It is: (x+3)^2 + (y-5)^2 = 16
It is: (x-2)^2 +(y-7)^2 = 16
(x - 9)2 + (y + 5)2 = 16
the general equation of the circle is (x-a)^2+(y-b)^2=r^2 where (a,b) is the center of the circle. r is the radius of the circle substituting the given values, (x+4)^2+(y-3)^2=6^2 x^2+y^2+8x-6y+16+9=36 x^2+y^2+8x-6y=11