The first thing I tried was placing the image of the chain on a new document and using the polar coordinates setting, seen here:
The setting was very simple to use, I just had to select the "Rectangular to Polar" box, pictured here:
This did not quite give me the results I had hoped for, however, as it had only made a semi circle, pictured here:
I decided to try again with a longer chain, so I undid the polar coordinates command, duplicated the image I had and flipped it horizontally, before placing it next to the original image and merging the layers into one, like so:
I then tried the polar coordinates setting again and this time it created a circle like I had hoped for:
The circle was not perfect, however, as the image had been stretched so the chains looked too thin. To counter this, I undid the polar coordinates then stretched the original image upwards:
I experimented with different levels of distortion until I ended up with what I had hoped for:
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