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I'm not sure Lewis' method is correct (but I could be wrong).
The method I used is as follows.
Work out the circumference of the circle at 200,000 radius (pi * 200K *2)
= 1,256,637 LY, divide by 1,296,000 (arc sec in a circle) = 0.96LY/arcsec.
Divide 7000LY by 0.96 = 7291 arcsecs, or 121 arcmins or 2.02°
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