Is angle a vector or a scalar quantity?

[Yatin]

Is angle a vector or a scalar quantity?
(eg- θ in l=rθ)

 

[PeroK]

Is angle a vector or a scalar quantity?
(eg- θ in l=rθ)

An angle itself is a scalar, but a rotation is a vector.

The angle $\pi/4$ has no implied direction as an angle. But, you can have a rotation of $\pi/4$ in any direction.

 

[David Lewis]

Rotation (angular displacement) has a uniquely-defined magnitude and direction, but is not a vector quantity because it doesn't obey the commutative law of vector addition (the result of two rotations in 3 dimensions depends on the order in which you perform them).