How do you find the center of the radius of #(x-1)^2 + (y+2)^2 =25#?
centre = (1 ,-2) and radius = 5
The standard form of the equation of a circle is.
where (a ,b) are the coordinates of the centre and r, the radius.
#(x-1)^2+(y+2)^2=25" is in this form"#
and by comparison with the standard form we obtain.
a = 1 , b = -2 and r = 5
Hence centre = (a ,b) = (1 ,-2) and radius = 5