---
title: "RADIANS (Transact-SQL) | Microsoft Docs"
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  - "RADIANS function"
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---
# RADIANS (Transact-SQL)
[!INCLUDE[tsql-appliesto-ss2008-all_md](../../includes/tsql-appliesto-ss2008-all-md.md)]

  Returns radians when a numeric expression, in degrees, is entered.  
  
 ![Topic link icon](../../database-engine/configure-windows/media/topic-link.gif "Topic link icon") [Transact-SQL Syntax Conventions](../../t-sql/language-elements/transact-sql-syntax-conventions-transact-sql.md)  
  
## Syntax  
  
```  
-- Syntax for SQL Server, Azure SQL Database, Azure SQL Data Warehouse, Parallel Data Warehouse  
  
RADIANS ( numeric_expression )  
```  
  
## Arguments  
 *numeric_expression*  
 Is an [expression](../../t-sql/language-elements/expressions-transact-sql.md) of the exact numeric or approximate numeric data type category, except for the **bit** data type.  
  
## Return Types  
 Returns the same type as *numeric_expression*.  
  
## 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  
```  
  
 [!INCLUDE[ssResult](../../includes/ssresult-md.md)]  
  
```  
-------------------   
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  
```  
  
 [!INCLUDE[ssResult](../../includes/ssresult-md.md)]  
  
```  
---------------------------------------   
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)  
```  
  
## Examples: [!INCLUDE[ssSDWfull](../../includes/sssdwfull-md.md)] and [!INCLUDE[ssPDW](../../includes/sspdw-md.md)]  
  
### C. 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  
```  
  
 [!INCLUDE[ssResult](../../includes/ssresult-md.md)]  
  
```  
-------------------   
0.0                        
(1 row(s) affected)  
```  
  
## See Also  
 [CAST and CONVERT (Transact-SQL)](../../t-sql/functions/cast-and-convert-transact-sql.md)   
 [decimal and numeric (Transact-SQL)](../../t-sql/data-types/decimal-and-numeric-transact-sql.md)   
 [float and real (Transact-SQL)](../../t-sql/data-types/float-and-real-transact-sql.md)   
 [int, bigint, smallint, and tinyint (Transact-SQL)](../../t-sql/data-types/int-bigint-smallint-and-tinyint-transact-sql.md)   
 [Mathematical Functions (Transact-SQL)](../../t-sql/functions/mathematical-functions-transact-sql.md)   
 [money and smallmoney (Transact-SQL)](../../t-sql/data-types/money-and-smallmoney-transact-sql.md)