How do you convert $x^{2} + y^{2} = 2$ $x^2 + y^2 = 2$ into polar form?

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How do you convert $x^{2} + y^{2} = 2$ $x^2 + y^2 = 2$ into polar form?

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Answer 1 · 2015-11-24T13:44:30

$r = 2$ $r=2$ (polar form)

Explanation:

$x^{2} + y^{2} = 2$ $x^2+y^2=2$ is a circle centered on the origin with radius $2$ $2$

In polar form the radius ( $r$ $r$ ) is equal to $2$ $2$
and
the angle ( $θ$ $theta$ ) is unconstrained
(i.e. it doesn't show up in the equation; similar to a Cartesian linear equation $x = 5$ $x=5$ where $y$ $y$ is unconstrained).

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How do you convert $x^{2} + y^{2} = 2$ $x^2 + y^2 = 2$ into polar form?

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