Returns radians when a numeric expression, in degrees, is entered.

## Syntax

``````RADIANS ( numeric_expression )
``````

Note

To view Transact-SQL syntax for SQL Server 2014 and earlier, see Previous versions documentation.

## Arguments

numeric_expression
Is an expression of the exact numeric or approximate numeric data type category.

## Return Types

The return type depends on the input type of numeric_expression:

Input type Return type
float, real float
decimal(p, s) decimal(38, s)
int, smallint, tinyint int
bigint bigint
money, smallmoney money
bit float

If the result does not fit in the return type, an arithmetic overflow error occurs.

## Examples

### A. Using RADIANS to show 0.0

The following example returns a result of `0.0` because the numeric expression to convert to radians is too small for the `RADIANS` function.

``````SELECT RADIANS(1e-307)
GO
``````

Here is the result set.

``````-------------------
0.0
(1 row(s) affected)
``````

### B. Using RADIANS to return the equivalent angle of a float expression.

The following example takes a `float` expression and returns the `RADIANS` of the specified angle.

``````-- First value is -45.01.
DECLARE @angle FLOAT
SET @angle = -45.01
SELECT 'The RADIANS of the angle is: ' +
GO
-- Next value is -181.01.
DECLARE @angle FLOAT
SET @angle = -181.01
SELECT 'The RADIANS of the angle is: ' +
GO
-- Next value is 0.00.
DECLARE @angle FLOAT
SET @angle = 0.00
SELECT 'The RADIANS of the angle is: ' +
GO
-- Next value is 0.1472738.
DECLARE @angle FLOAT
SET @angle = 0.1472738
SELECT 'The RADIANS of the angle is: ' +
GO
-- Last value is 197.1099392.
DECLARE @angle FLOAT
SET @angle = 197.1099392
SELECT 'The RADIANS of the angle is: ' +
GO
``````

Here is the result set.

``````---------------------------------------
The RADIANS of the angle is: -0.785573
(1 row(s) affected)
---------------------------------------
The RADIANS of the angle is: -3.15922
(1 row(s) affected)
---------------------------------------
The RADIANS of the angle is: 0
(1 row(s) affected)
---------------------------------------
The RADIANS of the angle is: 0.00257041
(1 row(s) affected)
---------------------------------------
The RADIANS of the angle is: 3.44022
(1 row(s) affected)
``````