# How do you write the equation for a circle with center (2, -3), radius 5?

Sep 11, 2016

See explanation.

#### Explanation:

The general formula of a circle whith radius $r$ and center in $S = \left(a , b\right)$ is:

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

So in our example the result equation is:
${\left(x - 2\right)}^{2} + {\left(y - \left(- 3\right)\right)}^{2} = {5}^{2}$

After simplyfing we get:

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