**Contents:**

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Computes the radians of an input value measuring degrees of an angle. The value can be a Decimal or Integer literal or a reference to a column containing numeric values.

- A unit of 1
**radian**identifies the angle of a circle where the radius of the circle equals the length of the arc on the circle for that angle. This value corresponds to approximately 57.3 degrees. - Input units are in degrees.
- You can convert from radians to degrees. For more information, see DEGREES Function.

## Basic Usage

** Numeric literal example: **

derive type:single value: ROUND(RADIANS(57.2728),4)

**Output:** Generates a column containing the computation in radians of `57.2728`

rounded to four digits, which is `1.0000`

.

** Column reference example: **

derive type:single value: RADIANS(myDegrees) as: myRads'

**Output:** Generates the new `myRads`

column containing the conversion of the values in `MyDegrees`

column to radians.

## Syntax

derive type:single value: RADIANS(numeric_value)

Argument | Required? | Data Type | Description |
---|---|---|---|

numeric_value | Y | string, decimal, or integer | Name of column, Decimal or Integer literal, or function returning those types to apply to the function |

For more information on syntax standards, see Language Documentation Syntax Notes.

### numeric_value

Name of the column, Integer or Decimal literal, or function returning that data type to apply to the function.

- Missing input values generate missing results.
- Literal numeric values should not be quoted. Quoted values are treated as strings.
- Multiple columns and wildcards are not supported.

**Usage Notes:**

Required? | Data Type | Example Value |
---|---|---|

Yes | String (column reference) or Integer or Decimal literal | `10` |

## Examples

### Example - DEGREES and RADIANS functions

This example illustrates to use the DEGREES and RADIANS functions to convert values from one unit of measure to the other.

- See DEGREES Function.
- See RADIANS Function.

**Source:**

In this example, the source data contains information about a set of isosceles triangles. Each triangle is listed in a separate row, with the listed value as the size of the non-congruent angle in the triangle in degrees.

You must calculate the measurement of all three angles of each isosceles triangle in radians.

triangle | a01 |
---|---|

t01 | 30 |

t02 | 60 |

t03 | 90 |

t04 | 120 |

t05 | 150 |

** Transform:**

You can convert the value for the non-congruent angle to radians using the following:

derive type:single value: ROUND(RADIANS(a01), 4) as: 'r01'

Now, calculate the value in degrees of the remaining two angles, which are congruent. Since the sum of all angles in a triangle is 180, the following formula can be applied to compute the size in degrees of each of these angles:

derive type:single value: (180 - a01) / 2 as: 'a02'

Convert the above to radians:

derive type:single value: ROUND(RADIANS(a02), 4) as: 'r02'

Create a second column for the other congruent angle:

derive type:single value: ROUND(RADIANS(a02), 4) as: 'r03'

To check accuracy, you sum all three columns and convert to degrees:

derive type:single value: ROUND(DEGREES(r01 + r02 + r03), 4) as: 'checksum'

** Results:**

After you delete the intermediate columns, you see the following results and determine the error in the checksum is acceptable:

triangle | a01 | r03 | r02 | r01 | checksum |
---|---|---|---|---|---|

t01 | 30 | 1.3095 | 1.3095 | 0.5238 | 179.9967 |

t02 | 60 | 1.0476 | 1.0476 | 1.0476 | 179.9967 |

t03 | 90 | 0.7857 | 0.7857 | 1.5714 | 179.9967 |

t04 | 120 | 0.5238 | 0.5238 | 2.0952 | 179.9967 |

t05 | 150 | 0.2619 | 0.2619 | 2.6190 | 179.9967 |

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