Spline Tangent to Circle

Rhino Rhino for Windows
1

Given a circle of fixed position and radius and fixed coplanar points: I need to create a spline through the points that ends tangent to curve.

How can I accomplish this?

When I use the tangent snap I get a point on the circle but GCON shows the spline is not tangent to the circle.

Screen Shot 2020-03-25 at 12.58.27 PM
Screen Shot 2020-03-25 at 12.58.27 PM1126×887 22.2 KB
Problem Tangent.3dm (3.0 MB)

2

Hello - Start InterpCrv at the far end and after the last point snap, use the EndTangent option, and the Near OSnap - pick a location on the circle, and then choose the tangent direction.
Any luck?

-Pascal