# How do you find the equation of the circle given center (0, 0), radius 7?

Jul 4, 2016

${x}^{2} + {y}^{2} = 49$

#### Explanation:

The equation of a circle is

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

Where $\left(h , k\right)$ are the center of the circle and $r$ is the radius

The center is $\left(0 , 0\right)$ and $r = 7$

${\left(x - 0\right)}^{2} + {\left(y - 0\right)}^{2} = {7}^{2}$

${x}^{2} + {y}^{2} = 49$