1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Express in Polar Coordinate

  1. Nov 14, 2004 #1
    How do I express this in polar coordinates?

    (x-h)^2+(y-k)^2= h^2+k^2

    It is a circle with k and h greater than 0.
  2. jcsd
  3. Nov 14, 2004 #2
    go to:


    I think the transforms would be

    x--> rcos theta
    y--> r sin theta
    h --> R cos theta'
    k --> R sin theta'

    4 prameters to describe the points on a shifted circle (shifted orgin because of the k and h terms) in either cartesian or polar coordinates

    Not sure, but I think.
  4. Nov 15, 2004 #3

    James R

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    In two dimensions, the transformations are:

    [tex]x = r\cos \theta, \qquad y = r\sin \theta[/tex]

    That's all you need.
  5. Nov 15, 2004 #4
    Yeah this makes sense. Sorry for my mistake. You'll only need two variables to plot a 1-d object in a 2d space.

    You would need four parameters to specify a shifted circle in either coordinate system. (The k and h parameters will propagate through your transformation.) You could transform this shift into polar coordinates as well (and you would have to if this was a complicated mechanics problem) but you don't even need to bother with this because it is given as a constant.

    Hope I didn't mess you up. Sorry again.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook