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• Definition
• Behavior
• Example

New in version 4.2.

Converts an input value measured in degrees to radians.

\$degreesToRadians takes any valid expression that resolves to a number.

By default \$degreesToRadians returns values as a double. \$degreesToRadians can also return values as a 128-bit decimal as long as the <expression> resolves to a 128-bit decimal value.

If the argument resolves to a value of null or refers to a field that is missing, \$degreesToRadians returns null. If the argument resolves to NaN, \$degreesToRadians returns NaN. If the argument resolves to negative or positive infinity, \$degreesToRadians negative or positive infinity respectively.

Example
Results
NaN
null
Infinity
-Infinity

The trigonometry collection contains a document that contains three angles measured in degrees:

 { "angle_a" : NumberDecimal("53.13010235415597870314438744090659"), "angle_b" : NumberDecimal("36.86989764584402129685561255909341"), "angle_c" : NumberDecimal("90") }

The following aggregation operation uses the \$degreesToRadians expression to convert each value to its radian equivalent and add them to the input document using the \$addFields pipeline stage.

The operation returns the following document:

 { "_id" : ObjectId("5c50aec71c75c59232b3ede4"), "angle_a" : NumberDecimal("53.13010235415597870314438744090660"), "angle_b" : NumberDecimal("36.86989764584402129685561255909341"), "angle_c" : NumberDecimal("90"), "angle_a_rad" : NumberDecimal("0.9272952180016122324285124629224290"), "angle_b_rad" : NumberDecimal("0.6435011087932843868028092287173227"), "angle_c_rad" : NumberDecimal("1.570796326794896619231321691639752") }

Since angle_a, angle_b, and angle_c are stored as 128-bit decimals, the output of \$degreesToRadians is a 128-bit decimal.