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

May 28, 2018

${\left(x + 5\right)}^{2} + {\left(y - 3\right)}^{2} = 16$

#### 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:

$a = - 5$

$b = 3$

$r = 4$

So we can plug everything in. We get

${\left(x + 5\right)}^{2} + {\left(y - 3\right)}^{2} = 16$