This is weird. While dabbling in sage, It seems I hit a rounding error.
sage: number=180*arccos(14/205*sqrt(41)*sqrt(5))/pi
sage: n(number)
12.0947570770121
sage: n(number,digits=4)
12.10
Is there any good reason that I'm not getting 12.09 as a result? This happens in N as well.
Here's my sage info.
SageMath version 9.2, Release Date: 2020-10-24
Using Python 3.9.5. Type "help()" for help.