2
$\begingroup$

OK, so I have the following polar equation:

$r = Θ/20$

And I would like to translate this a little to the right, and down from the polar origin.

Now, I figure since I know cartesian coordinate equation translations are quite simple, the best way to do this would be to convert this polar equation to a rectangular equation, translate, and then convert back to polar again.

However, I was having some problems making the initial conversion.

I know we are supposed to use the following relationships between polar and rectangular equations:

$r^2 = x^2 + y^2$

$y = rsin(Θ)$

But, I cannot seem to convert my equation correctly...

Would someone be able to suggest a simpler way to make this translation?

Or, assist me in converting to polar and back again?

I'm quite new at this, so I apologize if this question is remedial.

Thanks!

2 Answers 2