Mammoth Memory

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?

To work this out

36057.296=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=2πr

Circumference=2π radians (radius lengths)

Circumference=2π 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 2π 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)