# How do you write the equation of a circle given center (-1,-5) and radius 2?

Oct 26, 2016

${\left(x + 1\right)}^{2} + {\left(y + 5\right)}^{2} = 4$

#### Explanation:

The equation of the circle with center $\left(h , k\right)$

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

In our problem -

$h = - 1$
$k = - 5$
$a = 2$

Then the equation of the circle is-

${\left(x - \left(- 1\right)\right)}^{2} + {\left(y - \left(- 5\right)\right)}^{2} = {2}^{2}$

${\left(x + 1\right)}^{2} + {\left(y + 5\right)}^{2} = 4$