# How do you write the equation of the circle with center at (6, –2) and diameter = 12?

Mar 11, 2018

${\left(x - 6\right)}^{2} + {\left(y + 2\right)}^{2} = 36$

#### Explanation:

Use the equation, ${\left(x + {x}_{1}\right)}^{2} + {\left(y + {y}_{1}\right)}^{2} = {r}^{2}$

Where

$x$ = x-coordinate
$y$ = y-coordinate
$r$ = radius

Substitute the values in and change $+ 6$ to $- 6$ and $- 2$ to $+ 2$

${\left(x - 6\right)}^{2} + {\left(y + 2\right)}^{2} = 36$