RADIANS (Transact-SQL)

2024-09-03

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 )

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'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)

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