# How do you determine the equation of the circle, given the following information: center (-3, 7) and radius 10?

Dec 6, 2015

${\left(x + 3\right)}^{2} + {\left(y - 7\right)}^{2} = 100$

#### Explanation:

Any circle centred at point $\left(x , y\right)$ and having radius $r$ has the standard form equation
${\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}$.

So in this particular case, the equation of the given circle will be

${\left(x + 3\right)}^{2} + {\left(y - 7\right)}^{2} = 100$