I've put together a planar 3d polygon face area measuring script, but it still has bugs.
The vector/point math is a bit confusing. Just need to properly code the remaining 10% incorrectness. :-)
I've been resisting asking for help. (The math is fairly simple...)

For a nurbs face area, and or volume, the complex nurbs Gaussian quadrature integration, like the Berkeley link, is
beyond my current ability.