# Write the equation of a circle with a center at (-3,-4) and a radius of 3?

##### 1 Answer

The equation of a circle with center $\left({x}_{o} , {y}_{o}\right)$ and radius $r$ is

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

hence in our case

${\left(x + 3\right)}^{2} + {\left(y + 4\right)}^{2} = {3}^{2}$