How do you find the center and radius of #(x - 5) ^2 + (y + 3)^ 2 = 25#?
1 Answer
Sep 18, 2016
centre = (5 ,-3) and radius = 5
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.
#(x-5)^2+(y+3)^2=25" is in this form"# and by comparison with the standard form.
#a=5,b=-3" and " r^2=25rArrr=sqrt25=5# Hence centre = (5 ,-3) and radius = 5
