what you have is called "nothing". It's all fine and good to have the radius, delta and arc length, but you can do NOTHING without the chord direction (bearing) and distance. what you are saying is "I have point number one and this spiffy curve data to get to Point Number 2, But i really DO NOT know where point number 2 is."
You can compute all of the curve data remaining(tangent, chord distance, etc.) with no real problem, but if you do not already have Points 2,3, etc. , well Dude, you're screwed.
If the "experts' tell you that you have all you need, ask them for the deflection angle to point 2. Their eyes will glaze over.