# How do you find the center and radius of the circle: (x-7)^2+(y+2)^2=25?

Feb 9, 2016

I found: center at $\left(7 , - 2\right)$ and radius $r = 5$.

#### Explanation:

Consider the general form of the equation of the circle:
${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^{2}$
with radius $r$ and center at $\left(h , k\right)$ in your case gives you:
$r = \sqrt{25} = 5$
$h = 7$
$k = - 2$