What is (x-6)^2+(y-9)^2=49 ?

The solution to (x-6)^2+(y-9)^2=49 is Circle with (a,b)=(6,9),r=7

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(x-6)^2+(y-9)^2=49

(x - 6)^{2} + (y - 9)^{2} = 49

(a, b) = (6, 9), r = 7

Solution steps

(x - 6)^{2} + (y - 9)^{2} = 49

Rewrite

(x - 6)^{2} + (y - 9)^{2} = 49

in the form of the standard circle equation

(x - 6)^{2} + (y - 9)^{2} = 7^{2}

Therefore the circle properties are:

(a, b) = (6, 9), r = 7

x^{2} + y^{2} + 12 x - 2 y - 1 = 0

(x + 2)^{2} + (y + 1)^{2} = 25

x^{2} + (y + 1)^{2} = 7

(x)^{2} + (y)^{2} - 4^{2} = 0

x^{2} + (y + 1)^{2} = 9

What is (x-6)^2+(y-9)^2=49 ?
The solution to (x-6)^2+(y-9)^2=49 is Circle with (a,b)=(6,9),r=7