How do I figure out the diameter of the pole"
If you can measure the diameter of the pole at the top than that's the easiest as long as the pole isn't tapered (Bigger at the bottom and smaller at the top).
You can try to eyeball it with a tape measure but it's sometimes hard to tell whether it's 4" or 4 1/2" that way.
You can calculate the exact diameter of the pole by measuring the circumference of the pole and dividing by 3.14. (D=C/3.14) Example: The circumference of the pole is 17.5. 17.5/3.14 = 5.57 or 5 1/2" pole
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