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

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

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Answer 1 · 2016-01-17T19:40:26

r = $cos θ$ $costheta$

Explanation:

using the formulae that links Cartesian and Polar coordinates :

$∙ x^{2} + y^{2} = r^{2}$ $• x^2 + y^2 = r^2$

$∙ x = r cos θ$ $• x = rcostheta$

$∙ y = r sin θ$ $• y = rsintheta$

then $x^{2} + y^{2} = x \Rightarrow r^{2} = r cos θ$ $x^2 + y^2 = x rArr r^2 = rcostheta$

( dividing both sides by r ) : $r = cos θ$ $r = costheta$

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

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