What is the radius (x-1)^2+(y+4)^2=9 ?

The radius (x-1)^2+(y+4)^2=9 is r=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

radius (x-1)^2+(y+4)^2=9

radius

(x - 1)^{2} + (y + 4)^{2} = 9

r = 3

Solution steps

(x - 1)^{2} + (y + 4)^{2} = 9

Rewrite

(x - 1)^{2} + (y + 4)^{2} = 9

in the form of the standard circle equation

(x - 1)^{2} + (y - (- 4))^{2} = 3^{2}

Therefore the circle properties are:

(a, b) = (1, - 4), r = 3

And the radius is:

r = 3

x^{2} + y^{2} - 3 x + 4 y + 4 = 0

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

(x - 17)^{2} + (y + 5)^{2} = 144

3 x^{2} + 3 y^{2} + 2 x - 4 y - 1 = 0

x^{2} + y^{2} = 25