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Math Help - [SOLVED] convert circle of center (1,0) and radius 1 to polar coordinates

  1. #1
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    [SOLVED] convert circle of center (1,0) and radius 1 to polar coordinates

    I suppose this is really simple, but how does one go from: (x-1)^2 + y^2 = 1 to the equivalent polar coordinate equation.

    Thanks.
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  2. #2
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    Plug'n Chug! It's not magic. It's an algebra problem.

    x = r\cdot\cos(\theta)

    y = r\cdot\sin(\theta)

    Expand, Simplify, etc.
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  3. #3
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    Quote Originally Posted by nunos View Post
    I suppose this is really simple, but how does one go from: (x-1)^2 + y^2 = 1 to the equivalent polar coordinate equation.

    Thanks.

    x=r\cos \theta\,,\,y=r\sin \theta , and then  (x-1)^2+y^2=1\Longrightarrow x^2-2x+y^2=0\Longrightarrow r(r-2\cos \theta) = 0 \Longrightarrow r = 2\cos \theta

    Tonio
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