radians-transact-sql.md

title	RADIANS (Transact-SQL)
description	RADIANS (Transact-SQL)
author	MikeRayMSFT
ms.author	mikeray
ms.date	03/13/2017
ms.service	sql
ms.subservice	t-sql
ms.topic	reference
ms.custom	ignite-2025
f1_keywords	RADIANS RADIANS_TSQL
helpviewer_keywords	RADIANS function
dev_langs	TSQL
monikerRange	>=aps-pdw-2016 || =azuresqldb-current || =azure-sqldw-latest || >=sql-server-2016 || >=sql-server-linux-2017 || =azuresqldb-mi-current || =fabric || =fabric-sqldb

RADIANS (Transact-SQL)

[!INCLUDE sql-asdb-asdbmi-asa-pdw-fabricse-fabricdw-fabricsqldb]

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

:::image type="icon" source="../../includes/media/topic-link-icon.svg" border="false"::: Transact-SQL syntax conventions

Syntax

RADIANS ( numeric_expression )  

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  

[!INCLUDEssResult]

-------------------   
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  

[!INCLUDEssResult]

---------------------------------------   
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)