What is the radius x^2+y^2-6x+4y=7 ?

The radius x^2+y^2-6x+4y=7 is r=2sqrt(5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

radius x^2+y^2-6x+4y=7

radius

x^{2} + y^{2} - 6 x + 4 y = 7

r = 25

Solution steps

x^{2} + y^{2} - 6 x + 4 y = 7

Rewrite

x^{2} + y^{2} - 6 x + 4 y = 7

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (3, - 2), r = 25

And the radius is:

r = 25

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

x^{2} + y^{2} - 14 x + 6 y + 49 = 0

(x + 4)^{2} + (y - 6)^{2} = 18

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

(x - 2)^{2} + (y + 1)^{2} = 9