What is the radius x^2-4x+y^2+6y=24 ?

The radius x^2-4x+y^2+6y=24 is r=sqrt(37)

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radius x^2-4x+y^2+6y=24

radius

x^{2} - 4 x + y^{2} + 6 y = 24

r = 37

Solution steps

x^{2} - 4 x + y^{2} + 6 y = 24

Rewrite

x^{2} - 4 x + y^{2} + 6 y = 24

in the form of the standard circle equation

(x - 2)^{2} + (y - (- 3))^{2} = (37)^{2}

Therefore the circle properties are:

(a, b) = (2, - 3), r = 37

And the radius is:

r = 37

x^{2} + (y - 3)^{2} = 25

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

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

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

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