What is x^2+y^2-16x-2y+65=64 ?

The solution to x^2+y^2-16x-2y+65=64 is Circle with (a,b)=(8,1),r=8

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x^2+y^2-16x-2y+65=64

x^{2} + y^{2} - 16 x - 2 y + 65 = 64

(a, b) = (8, 1), r = 8

Solution steps

x^{2} + y^{2} - 16 x - 2 y + 65 = 64

Rewrite

x^{2} + y^{2} - 16 x - 2 y + 65 = 64

in the form of the standard circle equation

(x - 8)^{2} + (y - 1)^{2} = 8^{2}

Therefore the circle properties are:

(a, b) = (8, 1), r = 8

x^{2} - 8 x - 16 + y^{2} + 2 y + 1 = 25

(x - 2)^{2} + (y + 3)^{2} = 100

2 x^{2} + 2 y^{2} + 3 x + 5 y = 5

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

x^{2} + y^{2} - 14 x + 8 y + 40 = 0

What is x^2+y^2-16x-2y+65=64 ?
The solution to x^2+y^2-16x-2y+65=64 is Circle with (a,b)=(8,1),r=8