I don't think 1 radian is the radius around a circle unless somthing else is meant by this.
pi radians = 180 degrees
2pi radians = 360 degrees
From the center of the screen to either edge of the screen is an angle that opens by default to about 31 degrees. A radian can be defined as a unit representing an angle where the arc between two radii from the center of the same circle equal the radius. This does not translate directly to 1 radian = fov.
What do you mean by the diameter of the lens? The distance into the 3d view is the viewing plane. Based on the screen width and height, and an angle < pi radians, you can find this distance. As the the fov angle increases to pi (or 180 degrees) the distance to the viewing plane decreases.
Quote: "The command SET CAMERA RANGE controls the minimum and maximum drawing distance"
True and not true. This controls the rendering scope. The viewing plane is the distance at which 2d pixel units = 3d coordinate units. This forms a ratio to determine how the scene is drawn as the distance from the camera to anything visible in the scene varies. That ratio creates the perspective. The camera range just sets the distance at which any of this stuff is drawn by the engine.
The short of it is, decide on an angle that you want your field of view. If you want it in terms of a lens diamter, I suppose you would start at 1 = a fov of 180 or pi radians. So your formula for lens diameter where the diameter must be > 1 becomes
pi#=3.141592654
fov#=pi#/diameter#
Enjoy your day.