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RADIANS (Transact-SQL)

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

Applies to: SQL Server (SQL Server 2008 through current version), Azure SQL Database.

Topic link icon Transact-SQL Syntax Conventions

RADIANS ( numeric_expression )

numeric_expression

Is an expression of the exact numeric or approximate numeric data type category, except for the bit data type.

Returns the same type as numeric_expression.

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 is 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 is 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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