How do you find the center and radius of the circle # (x+9)^2 + (y-5)^2 = 64#?
1 Answer
Jun 11, 2016
centre (-9 ,5) , radius = 8
Explanation:
The standard form of the equation of a circle is.
#color(red)(|bar(ul(color(white)(a/a)color(black)((x-a)^2+(y-b)^2=r^2)color(white)(a/a)|)))#
where (a ,b) are the coordinates of the centre and r, the radius.From the given equation we should see that
a = -9 , b = 5 and r = 8
hence centre = (-9 ,5) and radius = 8
