# 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

`360^@/57.296^@=6.283`

**Answer: ** `=6.283`

## Another way that this can be expressed is

Circumference`=2pir`

Circumference`=2pi` radians (radius lengths)

Circumference`=2pi` radians

**NOTE:**

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

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

**In fact**

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

# 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

`360^@/57.296^@=6.283`

**Answer: ** `=6.283`

## Another way that this can be expressed is

Circumference`=2pir`

Circumference`=2pi` radians (radius lengths)

Circumference`=2pi` radians

**NOTE:**

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

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

**In fact**

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