# How do you write the standard from of the equation of the circle given center (3,1) R=sqrt 3?

Jul 18, 2016

#### Answer:

${\left(x - 3\right)}^{2} + {\left(y - 1\right)}^{2} = 3$

#### Explanation:

The standard form for a circle is
color(white)("XXX")(x-color(red)(x_c))^2+(y-color(blue)(y_c))^2=color(green)(r^2
where
$\textcolor{w h i t e}{\text{XXX}}$the center of the circle is at $\left(\textcolor{red}{{x}_{c}} , \textcolor{b l u e}{{y}_{c}}\right)$
$\textcolor{w h i t e}{\text{XXX}}$ and the radius is $\textcolor{g r e e n}{r}$