RADIANS (Transact-SQL)
Applies to:
SQL Server
Azure SQL Database
Azure SQL Managed Instance
Azure Synapse Analytics
Analytics Platform System (PDW)
SQL analytics endpoint in Microsoft Fabric
Warehouse in Microsoft Fabric
Returns radians when a numeric expression, in degrees, is entered.
Transact-SQL syntax conventions
Syntax
RADIANS ( numeric_expression )
Note
To view Transact-SQL syntax for SQL Server 2014 (12.x) and earlier versions, 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: ' +
CONVERT(VARCHAR, RADIANS(@angle))
GO
-- Next value is -181.01.
DECLARE @angle FLOAT
SET @angle = -181.01
SELECT 'The RADIANS of the angle is: ' +
CONVERT(VARCHAR, RADIANS(@angle))
GO
-- Next value is 0.00.
DECLARE @angle FLOAT
SET @angle = 0.00
SELECT 'The RADIANS of the angle is: ' +
CONVERT(VARCHAR, RADIANS(@angle))
GO
-- Next value is 0.1472738.
DECLARE @angle FLOAT
SET @angle = 0.1472738
SELECT 'The RADIANS of the angle is: ' +
CONVERT(VARCHAR, RADIANS(@angle))
GO
-- Last value is 197.1099392.
DECLARE @angle FLOAT
SET @angle = 197.1099392
SELECT 'The RADIANS of the angle is: ' +
CONVERT(VARCHAR, RADIANS(@angle))
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)
See Also
CAST and CONVERT (Transact-SQL)
decimal and numeric (Transact-SQL)
float and real (Transact-SQL)
int, bigint, smallint, and tinyint (Transact-SQL)
Mathematical Functions (Transact-SQL)
money and smallmoney (Transact-SQL)