---
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
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"
---
# RADIANS (Transact-SQL)
[!INCLUDE [sql-asdb-asdbmi-asa-pdw-fabricse-fabricdw](../../includes/applies-to-version/sql-asdb-asdbmi-asa-pdw-fabricse-fabricdw.md)]

  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](../../t-sql/language-elements/transact-sql-syntax-conventions-transact-sql.md)  
  
## Syntax  
  
```syntaxsql
RADIANS ( numeric_expression )  
```  
  
[!INCLUDE[sql-server-tsql-previous-offline-documentation](../../includes/sql-server-tsql-previous-offline-documentation.md)]

## Arguments
 *numeric_expression*  
 Is an [expression](../../t-sql/language-elements/expressions-transact-sql.md) 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.  
  
```sql  
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.  
  
```sql  
-- 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)  
```  
  
## 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)