x^2+y^2=9x

Solution

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

(a, b) = (\frac{9}{2}, 0), r = \frac{9}{2}

Solution steps

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

Rewrite

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

in the form of the standard circle equation

(x - \frac{9}{2})^{2} + (y - 0)^{2} = (\frac{9}{2})^{2}

Therefore the circle properties are:

(a, b) = (\frac{9}{2}, 0), r = \frac{9}{2}

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

x^{2} + y^{2} = 45

x^{2} + y^{2} = 41

x^{2} + y^{2} = 56

(x - 1)^{2} + (y - 2)^{2} = 36

What is x^2+y^2=9x ?
The solution to x^2+y^2=9x is Circle with (a,b)=(9/2 ,0),r= 9/2