RADIANS (Transact-SQL)

Applies to: 👁 Image
SQL Server 👁 Image
Azure SQL Database 👁 Image
Azure SQL Managed Instance 👁 Image
Azure Synapse Analytics 👁 Image
Analytics Platform System (PDW) 👁 Image
SQL analytics endpoint in Microsoft Fabric 👁 Image
Warehouse in Microsoft Fabric 👁 Image
SQL database in Microsoft Fabric

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

👁 Image
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:

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's 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's 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)