Why is Angle a poor name? The fact that radians, degrees and turns are all different ways to represent angles is exactly the point. Despite their different form

Why is Angle a poor name? The fact that radians, degrees and turns are all different ways to represent angles is exactly the point. Despite their different format, they represent the exact same thing, and sin(90 degrees) should return exactly the same as sin(1/4) or sin(pi/4). From a mathematical perspective where people don't care about types, this is weird, but from an OOP perspective with polymorphism this is exactly right. So in that sense, instead of storing angles as just a number where the programmer needs to keep checking whether it's in radians, degrees or turns, you should store it as an Angle object. And that object shouldn't use any approximations of pi, but understand what pi means. Angle.fromDegree(90) should be exactly, and not approximately Angle.fromRadian(4*PI).