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

The center is $\left(- 3 , 2\right)$ and the radius is $5$
${\left(x - {x}_{o}\right)}^{2} + {\left(y - {y}_{o}\right)}^{2} = {R}^{2}$
that is a circle with center at $\left({x}_{o} , {y}_{o}\right)$ and radius $R$
In our case that is ${\left(x - \left(- 3\right)\right)}^{2} + {\left(y - 2\right)}^{2} = {5}^{2}$