from importlib import util

mathmodule = util.find_spec("math")
math1 = util.module_from_spec(mathmodule)
print(math1.pi)

=====

$ python3.8 /tmp/foo.py 
3.141592653589793

$ python3.9 /tmp/foo.py 
Traceback (most recent call last):
  File "/tmp/foo.py", line 5, in <module>
    print(math1.pi)
AttributeError: module 'math' has no attribute 'pi'

That is because pi, along with other constants in the math module are defined during module execution, not module creation:

https://github.com/python/cpython/blob/62f1d2b3d7dda99598d053e10b785c463fdcf591/Modules/cmathmodule.c#L1257-L1262

Taking the example right here (https://docs.python.org/3/library/importlib.html#checking-if-a-module-can-be-imported) from the docs, you can see how they call exec_module() after module_from_spec.

If you change your code to do that as well, you will find that pi is now defined:

========

from importlib import util

mathmodule = util.find_spec("math")
math1 = util.module_from_spec(mathmodule)
mathmodule.loader.exec_module(math1)
print(math1.pi)

========