# How do you write an equation for a circle with center (-2, 4) and radius 7?

Jul 30, 2018

${\left(x - 2\right)}^{2} + {\left(y + 4\right)}^{2} = 49$

#### Explanation:

The general form of a circle is ${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^{2}$ where $\left(h , k\right)$ is the centre and $r$ is the radius

Since we know that the centre is $\left(- 2 , 4\right)$, then $h = 2$ and $k = - 4$ and since the radius is $7$, then $r = 7$

Equation of the circle is equal to:
${\left(x - 2\right)}^{2} + {\left(y + 4\right)}^{2} = 49$