# How do you write the equation for a circle with center (-4, 1), radius 6?

May 10, 2016

${\left(x + 4\right)}^{2} + {\left(y - 1\right)}^{2} = 36$

#### Explanation:

$O = \left(a , b\right) \text{ center coordinates}$
$a = - 4$
$b = 1$
$r = 6$

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

${\left(x + 4\right)}^{2} + {\left(y - 1\right)}^{2} = {6}^{2}$

${\left(x + 4\right)}^{2} + {\left(y - 1\right)}^{2} = 36$