# How do you graph x^2+y^2=36?

Dec 15, 2016

${x}^{2} + {y}^{2} = 36$
$\Leftrightarrow {\left(x - 0\right)}^{2} + {\left(y - 0\right)}^{2} = {6}^{2}$
This is nothing but locus of a point that moves so that its distance from point $\left(0 , 0\right)$ is always $6$.
Hence, ${x}^{2} + {y}^{2} = 36$ is equation of a circle with center at $\left(0 , 0\right)$ and radius $6$ and accordingly we graph it.