Question

Find the radius and the coordinates of the center of the circle: (x+6)^2+(y-1)^2=25

Answer 1

Explanation:

Given equation of circle is:

`{(x +6)}^(2) + {(y - 1)}^(2) = 25\\</p><p>{(x +6)}^(2) + {(y - 1)}^(2) = {5}^(2) \\ equating \: it \: with \\ {(x - h)}^(2) + {(y - k)}^(2) = {r}^(2) \\ we \: find: \\ - h = 6 \implies \: h = - 6\\ - k = - 1\implies \: k= 1 \\ \therefore \: center = (h, \: k) \\ \red{ \boxed{\bold {\therefore \: center = (-6, \: 1)}}} \\ \\ \: \: \: \purple{ \boxed{\bold {radius \: r = 5 \: units}}}`