What is (x-2)^2+(y-1)^2=81 ?

The solution to (x-2)^2+(y-1)^2=81 is Circle with (a,b)=(2,1),r=9

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(x-2)^2+(y-1)^2=81

(x - 2)^{2} + (y - 1)^{2} = 81

(a, b) = (2, 1), r = 9

Solution steps

(x - 2)^{2} + (y - 1)^{2} = 81

Rewrite

(x - 2)^{2} + (y - 1)^{2} = 81

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (2, 1), r = 9

x^{2} + y^{2} + 4 x - 6 y - 30 = 0

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

4 (x - 1)^{2} + 4 y^{2} = 9

x^{2} + 8 x + 16 + y^{2} + 4 y + 4 = 4

(x - 2)^{2} + (y + 4)^{2} = 3

What is (x-2)^2+(y-1)^2=81 ?
The solution to (x-2)^2+(y-1)^2=81 is Circle with (a,b)=(2,1),r=9