4 circles one thread circling them

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Can somebody tell me how to measure the length of a thread which is wrapped around 4 circles the radius of each is 1m. The four circles are touching but their centers don't form a square when they are connected. Can you please explain the steps and the laws you use when you measure the length of that thread an thanks.

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Here is a figure to help with achille hui's comment, which is what I was goin write. Note that DE and IH are the distance between the centers.

enter image description here