How does math.pi/2 work on CFrames?

I get if this is a more complicated thing to ask, or if its a stupid question, but I want to ask it either way.

For the case of CFrame, If you use math.pi/2 for its Orientation, it would apply a 90 degree rotation. If you remove the /2 and simply say math.pi, it will rotate 180 degrees, However this is just CFrame , using it with Vector3 like maybe BasePart.Orientation wouldn’t exactly work, and would only increment a few Degrees instead of making a complete Right Angle, like with CFrame, However, that may just be that I’m using it wrong for Vector3

The Usage of math.pi/2 Im referring to:

Instance.CFrame = Instance.CFrame * CFrame.Angles(0, math.pi/2, 0) -- makes a 90 degree rotation to the object

printing math.pi/2 would give you something along the lines of 1.57,and if you convert a number to radians, which in this case we would do math.rad(90), it would return this exact number. While if you change 90 to 180, it will return the “exact” number of pi.

print(math.rad(90), math.pi/2)
print(math.rad(180), math.pi)
-- same number

Why does this work?
Its sort of something I dont exactly understand, and I was hoping someone could help clear things up.

Orientation uses degrees.
CFrame.Angles uses radians.

There are 360 degrees in a circle.
There are math.pi * 2 radians in a circle.
360 degrees = math.pi * 2 radians

There are 180 degrees in half a circle.
There are math.pi radians in half a circle.
180 degrees = math.pi radians.


Basepart.Orientation and Basepart.Rotation are both given in Degrees instead of radiants, and For some reason Orientation is in order XYZ instead of the Rotation ZYX

Oh, thats why I was confused, Didn’t actually know they used two different Measurements, I guess thats why people use math.deg() and math.rad() when doing rotations with CFrame or Vector3.

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