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Math Help - convert to polar

  1. #1
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    convert to polar

    Change the equation to rectangular cordinates
    r=2
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  2. #2
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    Quote Originally Posted by ldacoll View Post
    Change the equation to rectangular cordinates
    r=2
    You should recognize that this is the equation for a circle with its center at the origin. The form of this equation is x^2 + y^2 = r^2. So then, what is the equation for r = 2?
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  3. #3
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by ldacoll View Post
    Change the equation to rectangular cordinates
    r=2
    To convert a function from polar to rectangular or vice versa, use the following conversions:

    r=\sqrt{x^2+y^2}

    \theta=tan^{-1}\frac{y}{x}

    x=rcos\theta

    y=rsin\theta

    tan\theta=\frac{y}{x}

    Converting r=2 to rectangular, we get:

    \sqrt{x^2+y^2}=2\rightarrow x^2+y^2=4.

    You should recognize this as being a circle centered at the origin with a radius of 2.
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