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#