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Ive done similar efforts to that before, but at some point, the weight of those rods tend to drag behind changing the R.
My last effort, was a lot easier than what you are doing there. I just used my 100' steel tape for a few radii, in the range of 40' to 48'.
The little clip on the end of the tape, fits over the screw in the middle of my Makita edge guide, making an easy attachment point on that end to the router.
I clamped the other end to a post of the shed off the back entry with a hand-screw.
I had my mdf pattern sheet up on 2 x 4s, and dropped a couple of lengths of pvc pipe on the ground between, breaking the sag of the tape into about 10' lengths, and to prevent snagging of the tape on the asphalt parking lot.
It was quick and easy, and the tape is always on hand in the tool-box, not requiring any storing something, that I can't find next time I need it. It is always ready, accurate, and does't stretch.
Of course, it should go without saying, to rout clockwise, so the bit is pulling against the tape.