# How do you write the equation of the circle with Center (0, 0), radius = 6?

Jun 1, 2016

${x}^{2} + {y}^{2} = 36$

#### Explanation:

The general equation of a circle with center $\left(\textcolor{red}{a} , \textcolor{b l u e}{b}\right)$ and radius $\textcolor{g r e e n}{r}$ is
$\textcolor{w h i t e}{\text{XXX}} {\left(x - \textcolor{red}{a}\right)}^{2} + {\left(y - \textcolor{b l u e}{b}\right)}^{2} = {\textcolor{g r e e n}{r}}^{2}$

Sustituting
$\textcolor{w h i t e}{\text{XXX}} \textcolor{red}{0}$ for $\textcolor{red}{a}$
$\textcolor{w h i t e}{\text{XXX}} \textcolor{b l u e}{0}$ for $\textcolor{b l u e}{b}$ and
$\textcolor{w h i t e}{\text{XXX}} \textcolor{g r e e n}{6}$ for $\textcolor{g r e e n}{r}$