What is x^2+y^2-18x+30y+297=0 ?

The solution to x^2+y^2-18x+30y+297=0 is Circle with (a,b)=(9,-15),r=3

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x^2+y^2-18x+30y+297=0

x^{2} + y^{2} - 18 x + 30 y + 297 = 0

(a, b) = (9, - 15), r = 3

Solution steps

x^{2} + y^{2} - 18 x + 30 y + 297 = 0

Rewrite

x^{2} + y^{2} - 18 x + 30 y + 297 = 0

in the form of the standard circle equation

(x - 9)^{2} + (y - (- 15))^{2} = 3^{2}

Therefore the circle properties are:

(a, b) = (9, - 15), r = 3

x^{2} + y^{2} + 8 x + 8 y + 4 = 0

4 x^{2} + 4 y^{2} + 40 x + 16 y + 40 = 0

(x + 1)^{2} + (y + 3)^{2} = 70. 9^{2}

(x - 21)^{2} + (y - 2)^{2} = 16

x^{2} - 2 x + y^{2} - 8 y - 20 = 0

What is x^2+y^2-18x+30y+297=0 ?
The solution to x^2+y^2-18x+30y+297=0 is Circle with (a,b)=(9,-15),r=3