How can I calculate the modulus and argument for every point in a plot?

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Hi all,
Suppose, I have a scattered plot like this -
I want find out the θ, and r for every corresponding point. Can anyone please give me an idea on how to do that?
The X, Y values are in XY.mat file I added. Where,
X = xy(:,1);
Y = xy(:,2);
Any feedback will be highly appreciated!

Accepted Answer

Walter Roberson
Walter Roberson on 6 Apr 2023
[theta, r] = cart2pol(X, Y);
  2 Comments
Ashfaq Ahmed
Ashfaq Ahmed on 6 Apr 2023
Edited: Ashfaq Ahmed on 6 Apr 2023
Yes, perfect! Does it count from the first element? Also, how is the theta calculated (i.e., its dimension)?
Walter Roberson
Walter Roberson on 6 Apr 2023
The values are calculated relative to (0,0) . If you want to calculate relative to some other point, subtract that other point from X and Y .
theta = atan2(Y, X) and so is radians.

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