# How do you write the equation for a circle with center (-3, -5) and radius 4?

The equations for a circle with centre $\left(a , b\right)$ and radius $r$ is ${\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}$
So in this case $a = - 3$, $b = - 5$ and $r = 4$, and the equation is:
${\left(x + 3\right)}^{2} + {\left(y + 5\right)}^{2} = 16$