Did you try the "delta angle" option?
Entering the delta angle and the radius yields a curve with the correct arc length.
Even though the Traverse is typed up with tangent bearings, it inserts the chord bearing into the COGO attributes. You can see that the calculated chord bearing based on the delta angle matches what you calculated.
Outside of the traverse, I was able to confirm that using the Circular Arc tool does present the same option of delta angles. So either way you come at it, you can easily enter the information given on the plat and get correct, accurate COGO lines. No magic required, just using the appropriate tools.
- Josh Carlson
Kendall County GIS