Well I thought so too, and that's what I tried at first. But when I tried applying the tangency constraint, the drawing got all weirded out-- but that was on my more complicated drawing, perhaps there was something else wrong...
I just tried it on my simplified drawing and it sort-of seems like it *oughta* work, but in reality it doesn't. Here is a screenshot. I tried it twice with two slightly different setups. The first attempt (not shown) I did not set a formal radius on the center circle. When I applied the tangency constraints it sort-of worked, but only because it yanked the radius of the circle-- made it larger, and several of the lines were extended beyond the frame of the rectangle, similar to the way they are in the screenshot below.
For my second attempt, which the screenshot depicts, I reverted to the same original setup, fully-constrained the circle with a formal dimension and then added the fillets and constraints. With the circle now unable to adjust to the fillet, the operation failed, though the fillets were formed and extended the boundary of the rectangle again as in the first attempt. If the operation had worked, I could live with the extended lines and simply ignore or trim them off. But as you can see, the tangency constraint did not actually work. (Also ignore the section that is a construction line-- I didn't notice it until afterwards and it makes no difference to the end result.)
ALSO AS A FOLLOW-ON QUESTION -- Is there a way to create the fillet without losing the original lines the fillet is made from? In my drawings I have had to redraw the lines over and over for each new fillet.
REGARDING FILLETS TO 3D OBJECT -- Normally that's exactly what I would do, however in this case there are so many to apply that I thought I would just take care of it in the sketch. Without intending to sound offensive, my naive question back would be how can Fusion 360 claim to be fully parametric if this cannot be dealt with effectively (ie. "stably") from the original sketch? What am I missing?
Thanks for your assistance and guidance. It is much appreciated!!
John
Constrained with Tangencies