# How do you identify the center and radius of the circle #x^2+(y+12)^2=24#?

##### 2 Answers

Feb 23, 2017

#### Explanation:

Feb 23, 2017

#### Explanation:

The standard form of the

#color(blue)"equation of a circle"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)((x-a)^2+(y-b)^2=r^2)color(white)(2/2)|)))#

where (a ,b) are the coordinates of the centre and r, the radius.

#x^2+(y+12)^2=24" is in this form"# by comparison with the standard form equation.

#a=0,b=-12" and "r^2=24#

#r^2=24rArrr=sqrt24=2sqrt6#

#rArr"centre "=(a,b)=(0,-12)" and "r=2sqrt6#