Python | Rotate Rectangle and get new boundariy dimensions

Question

So we got the rectangle A and we rotate it around its corner by x degree. Now I want to know how to calculate the boundaries of the new rectangle. What I mean with boundaries (blue rect):

known values are inner rectangle width/height/center/corners Thanks in advance!

Answer 1

Bounding rectange has dimensions:

New_Height = Old_Width * Abs(Sin(Fi)) + Old_Height * Abs(Cos(Fi))
New_Width = Old_Width * Abs(Cos(Fi)) + Old_Height * Abs(Sin(Fi))