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From and article I wrote which was published in the G Scale Magazine more explanation on the setting out angles cut in the decking was requested. I will describe how I worked out the geometry of the angle.  It is school student GCSE level mathematics NOT DEGREE level !

In the standard pack of curves there are 3 making up 90 degrees.

Thus each curve will take up 30 degrees

The angles A B C D E F will all be the same as they are the same distance from the centre of the circle

There are 180 degree in total for a triangle

Therefore A + B + 30 = 180 degrees

as A = B

Then A + A = 180 -30 degrees

thus A + A = 150 degrees

therefore  A = 75 degrees

I then make up FULL SIZED paper templates for the radius of the curve where X is the radius in my case, mainly 600mm, measured from the centre of the circle to the centre line of the track marked with the dashed line.

If one uses 3 sections of track for each curve or bend flexible track to follow the centre line of each section only the length of the section will change for the change in radius the angles ( A B C D E F ) stay the same at 75 degrees.

The story continues here