## Learning and Applying Mathematics using Computing

So why 360 degrees? If you think about it, being out of 100 might have made life easier, or we could have used 0 to 1. 360 is an arbitrary choice. It turns out that there is a number that makes some angle-related calculations much easier: having angles be from $0 \text{~--~} 2 \pi$ (aka tau: $\tau$). Now, this number is clearly harder for humans to get a feel for. If I tell you that the angle is 1.4, but that a full circle is roughly 6.28, it will take you a few moments (at least!) to realise that 1.4 is just under a quarter-circle. So we teach degrees at first, but for more advanced maths, this other system of $0 \text{~--~} 2 \pi$ aka $0 \text{~--~} \tau$ (known as radians), makes much more sense.