How many radians in a full circle?

How many radians are there in a full circle can be re-written as:

How many `57.296^@` are there in a full circle?

`360^@/57.296^@=6.283`

Answer: `=6.283`

Another way that this can be expressed is

A radian is a radius that has travelled inside a circle which leaves an area of 57.296 degrees

Circumference`=2pir`

Circumference`=2pi` radians (radius lengths)

Circumference`=2pi` radians

NOTE:

1. The arc of a semi-circle would be ½ of this

? is a semi circle which is a little over 3 radians

2. A quarter of the arc of a circle would be a ¼ of `2pi` radians

A half of a semi circle is ?/2 which is about 1.75 radians

In fact

Any part of a circle can be expressed in terms of radians (or parts of `57.269^@`)