How do you convert $x^{2} + y^{2} = 5 x$ $x^2+y^2= 5x$ to polar form?

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How do you convert $x^{2} + y^{2} = 5 x$ $x^2+y^2= 5x$ to polar form?

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Answer 1 · 2018-07-09T19:48:33

$r = 5 cos θ$ $r=5costheta$

Explanation:

$to convert from cartesian to polar form$ $"to convert from "color(blue)"cartesian to polar form"$

$∙ x x = r cos θ and y = r sin θ$ $•color(white)(x)x=rcostheta" and "y=rsintheta$

$∙ x r = \sqrt{x^{2} + y^{2}} \Rightarrow r^{2} = x^{2} + y^{2}$ $•color(white)(x)r=sqrt(x^2+y^2)rArrr^2=x^2+y^2$

$r^{2} = 5 r cos θ \Rightarrow r = 5 cos θ$ $r^2=5rcosthetarArrr=5costheta$

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How do you convert $x^{2} + y^{2} = 5 x$ $x^2+y^2= 5x$ to polar form?

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How do you convert $x^{2} + y^{2} = 5 x$ $x^2+y^2= 5x$ to polar form?