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

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#### Explanation:

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14
Dec 15, 2016

#### Explanation:

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

$\Leftrightarrow {\left(x - 0\right)}^{2} + {\left(y - 0\right)}^{2} = {6}^{2}$

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.
graph{x^2+y^2=36 [-14, 14, -7, 7]}

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