First of all - I am sorry if it is the wrong forum or if this is a very trivial question. I am not a mathematician nor a trigonometry genius - and therefor I would ask a simple answer that someone like me could understand (and not just fancy formulas if possible)
Giving a circle with a known radius ($r$) and another circle with an offset of ($t$) I would like to fill the "gap" ($t$) with non-overlapping triangles with the closest possible angle to $45^\circ$.
- 1 - How can I know how many triangles will enter the space ?
- 2 - How can I calculate their exact angles (a) (b) ?
- 3 - assuming I want an EXACT angle of (b) = $90^\circ$ (and not approximation) - how can I know the number of triangles and also calculate the "left-over" ??
UPDATE I: as per comment : a visual example of wanted result.