What is 200=x^2+y^2-12y+36 ?

The solution to 200=x^2+y^2-12y+36 is Circle with (a,b)=(0,6),r=10sqrt(2)

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200=x^2+y^2-12y+36

200 = x^{2} + y^{2} - 12 y + 36

(a, b) = (0, 6), r = 102

Solution steps

200 = x^{2} + y^{2} - 12 y + 36

Rewrite

200 = x^{2} + y^{2} - 12 y + 36

in the form of the standard circle equation

(x - 0)^{2} + (y - 6)^{2} = (102)^{2}

Therefore the circle properties are:

(a, b) = (0, 6), r = 102

4 x^{2} + 4 y^{2} - 24 x + 4 y + 17 = 0

x^{2} + y^{2} - 2 x + 4 y = 44

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

x^{2} + y^{2} + 4 x - 12 y + 15 = 0

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

What is 200=x^2+y^2-12y+36 ?
The solution to 200=x^2+y^2-12y+36 is Circle with (a,b)=(0,6),r=10sqrt(2)