Geometry, particle along a circle

[Guest]

Hi to all,
I'm stuck with this problem, can anyone help please?
Looking at the attached drawing.

Web.png (7.94 KiB) Viewed 1491 times

My particle is at point Entry (0,0), is trying to reach the opint Destination (range,0) by first riding along the circle centred in (curvature * Sin(Brg), -curvature *Cos(Brg)).
It exits at point Exit, and then straight lines to point Destination.
I managed to compute distCtrDest, and thus distExit and angleCtrDestEx.
I am now trying to figure out the angle "angeEntryCtrExit".
Any ideas? Thank you in adavnce!
Charlie

[Guest]

By considering the triangle formed from the points entry-destination-centre you can work out the angle at 'destination' of that triangle.
Now you can work out the angle entry-destination-exit.
Consider the triangle formed by entry-destination-exit, to work out the length entry-exit.
Consider the triangle entry-exit-centre to work out the angle at centre.

Hope this helped,

R. Baber.