Database Manual / Reference / Query Language / Expressions

$degreesToRadians (aggregation operator)

Definition

$degreesToRadians

Converts an input value measured in degrees to radians.

$degreesToRadians has the following syntax:

{ $degreesToRadians: <expression> }

$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.

For more information on expressions, see Expressions.

Behavior

null, NaN, and +/- Infinity

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.

ExampleResults

{ $degreesToRadians: NaN }

NaN

{ $degreesToRadians: null }

null

{ $degreesToRadians : Infinity}

Infinity

{ $degreesToRadians : -Infinity }

-Infinity

Example

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

{
  "angle_a" : Decimal128("53.13010235415597870314438744090659"),
  "angle_b" : Decimal128("36.86989764584402129685561255909341"),
  "angle_c" : Decimal128("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.

db.trigonometry.aggregate([
  {
    $addFields: {
      "angle_a_rad" : { $degreesToRadians : "$angle_a"},
      "angle_b_rad" : { $degreesToRadians : "$angle_b"},
      "angle_c_rad" : { $degreesToRadians : "$angle_c"}
    }
  }
])

The operation returns the following document:

{
  "_id" : ObjectId("5c50aec71c75c59232b3ede4"),
  "angle_a" : Decimal128("53.13010235415597870314438744090660"),
  "angle_b" : Decimal128("36.86989764584402129685561255909341"),
  "angle_c" : Decimal128("90"),
  "angle_a_rad" : Decimal128("0.9272952180016122324285124629224290"),
  "angle_b_rad" : Decimal128("0.6435011087932843868028092287173227"),
  "angle_c_rad" : Decimal128("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.