# How do you find the equation of a circle with center C ( 6, - 2 ), radius 2?

Feb 4, 2016

${\left(x - 6\right)}^{2} + {\left(y + 2\right)}^{2} = 4$

#### Explanation:

The standard form of the equation of a circle is.

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

where (a , b ) are the coords of centre and r , the radius.

Here (a , b ) = (6 , -2 ) and r = 2

$\Rightarrow {\left(x - 6\right)}^{2} + {\left(y + 2\right)}^{2} = 4 \textcolor{b l a c k}{\text{ is the equation}}$