# How do you write an equation of a circle with Center (3, -2), radius = 5?

May 19, 2016

${\left(x - 3\right)}^{2} + {\left(y + 2\right)}^{2} = 25$

#### Explanation:

$C = \left(a , b\right) \text{ coordinates of center of circle}$

${\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2} \text{ circle equation}$

$a = 3 \text{ "b=-2" } r = 5$

$\left(x - 3\right) + \left(y + 2\right) = {5}^{2}$

${\left(x - 3\right)}^{2} + {\left(y + 2\right)}^{2} = 25$