Euler Identity in Home

[orcinus]

I honestly don't get what the confusion is.

Home = numeric
CAS = symbolic

Numeric pi is a numeric (!) float constant, with a limited precision.
Symbolic pi is treated as a symbolic (!) entity, not a number.

Therefore, you'll get an approximation limited by the precision of numeric pi on the Home screen and an exact symbolic result on the CAS screen.

If you replace pi with 180 in degrees mode on Home, of course you'll get an exact result - 180 is a natural number, pi is transcedental.