# How do you find the center of the circle and its radius of (x-3)^2 + (y-1)^2 = 25?

Jun 22, 2016

The center is $\left(3 , 1\right)$ and radius is $5$

#### Explanation:

If the equation is in the form

${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^{2}$

The center is $\left(h , k\right)$ and radius is $r$.

Hence, in ${\left(x - 3\right)}^{2} + {\left(y - 1\right)}^{2} = 25 = {5}^{2}$,

the center is $\left(3 , 1\right)$ and radius is $5$.