I was doing some reading through the forum and noticed a question about De Moivre's theorem and realized that I don't know how to find r at all.
I was wondering why the radius is 2 when you take the absolute value of (sqrt3 + i)
On an Argand Diagram, a complex number's "modulus" is it's distance from the origin .
Pythagoras' theorem calculates this
[you can draw a right-angled triangle with hypotenuse being the line from to ].