# How do you write an equation of the circle given the center at (-4, 1), radius 2?

May 23, 2018

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

#### Explanation:

The equation of a circle is given by

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

Where $a$ and $b$ are our coordinates, and $r$ is our radius.

We know $a$, $b$ and $r$, so we can plug those in. We get

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

Hope this helps!