# How do you find the equation of the circle given center (-2,4) and radius 6?

${\left(x + 2\right)}^{2} + {\left(y - 4\right)}^{2} = 36$
${\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}$ where ($a , b$) is the centre and $r$ is the radius.
${\left(x + 2\right)}^{2} + {\left(y - 4\right)}^{2} = 36$