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Linear Radius?
Fragment of a discussion from Talk:Thunder Breath
There's a pretty good estimate for this, actually. When you load the skill, dragon poises its wings threateningly. In that situation its wingspan approximates the width of the beam. For older dragons that might be closer to the length of the middle wingtips, and for Giants' dragons it might be closer to the inner ones, I haven't tested this yet.
Wingspan of age 1 dragon on human = pretty good estimate though.
Also this seems to have a delay of ~1.5s before firing; you can miss if your target walks behind you relative to where it was when you clicked to fire.