What is (x-1)^2+(y-1)^2=25 ?

The solution to (x-1)^2+(y-1)^2=25 is Circle with (a,b)=(1,1),r=5

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(x-1)^2+(y-1)^2=25

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

(a, b) = (1, 1), r = 5

Solution steps

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

Rewrite

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

in the form of the standard circle equation

(x - 1)^{2} + (y - 1)^{2} = 5^{2}

Therefore the circle properties are:

(a, b) = (1, 1), r = 5

x^{2} + y^{2} - 10 x - 6 y - 30 = 0

x^{2} + y^{2} - 14 x + 8 y + 61 = 0

x^{2} + y^{2} - 2 x + 10 y - 55 = 0

x^{2} + y^{2} - 2 x + 4 y - 20 = 0

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

What is (x-1)^2+(y-1)^2=25 ?
The solution to (x-1)^2+(y-1)^2=25 is Circle with (a,b)=(1,1),r=5