How do you convert $r^{2} = x^{2} + y^{2}$ $r^2 = x^2 + y^2$ into a cartesian equation?

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Answer 1 · 2016-01-25T21:37:21

$y = \pm \sqrt{r^{2} - x^{2}}$ $y=+-sqrt(r^2-x^2)$

Making $y$ $y$ the subject of the formula gives that
$y = \pm \sqrt{r^{2} - x^{2}}$ $y=+-sqrt(r^2-x^2)$ .

This is the equation of a circle centred at the origin $(0, 0)$ $(0,0)$ and having radius $r$ $r$ .

How do you convert r^2 = x^2 + y^2r2=x2+y2r^2 = x^2 + y^2 into a cartesian equation?