Translations in polar coordinates

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Hi, I'd like to describe what I need to do visually:
th_exampple.jpg



In other words, I just need to translate my semi-circle (which is actually just a large circle in limited viewspace) so that it moves beyond the origin. Right now I'm using the standard formula for a circle centered at a distance r from the origin. r = -2*(a*cos(t) +b*sin(t))

Any help?

I've tried using the formula given in the last post on this page:
http://math.stackexchange.com/questions/24054/converting-polar-equation-to-cartesian-coordinate-polar-equation-and-back-again

but when I plug it into my python program, the translation gives a function which looks nothing like a circle. I'm thinking I might be entering the variables wrong.


Thanks in advance,
Greg
 
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