What is x^2+y^2=2x+2y ?

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

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x^2+y^2=2x+2y

x^{2} + y^{2} = 2 x + 2 y

(a, b) = (1, 1), r = 2

Solution steps

x^{2} + y^{2} = 2 x + 2 y

Rewrite

x^{2} + y^{2} = 2 x + 2 y

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (1, 1), r = 2

x^{2} + y^{2} = 9^{2}

x^{2} + y^{2} + 10 x - 4 y + 25 = 0

(x + 3)^{2} + (y + 1)^{2} = 9

6 x^{2} + 6 y^{2} + 12 x - 24 y = 36

x^{2} + y^{2} - 7 = 0

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