Scientific unit conversion

Degrees to Radians Converter

Convert degrees to radians instantly with the formula, worked examples, rounding guidance, and related angle conversions.

Converters

12

Units

85

Mode

Live

Result

0.0174532925199
rad / 1 deg = 0.0174532925199432957692369077 rad
Angle Degrees to Radians Converter Angle Radians to Degrees Converter Angle Degrees to Gradians Converter Angle Minute of arcs to Degrees Converter

Pair-specific conversion guide

Degree to Radian formula

Use this Degree to Radian page for direct angle conversions. The calculator keeps the exact deg to rad relationship on the page, so the result, formula, and examples all describe this specific pair.

Formula model

1 deg = 0.0174532925199 rad

1 Degree equals

Quick factor: 1 deg = 0.0174532925199 rad.

The current calculator value is 1 deg, which equals 0.0174532925199 rad.

Use the conversion table to compare 1 deg with the other units in the same category.

Use sufficient precision for radians and small angular units before rounding the final result.

Precision and rounding

The calculation uses the catalog's fixed conversion factors between deg and rad. Full decimal precision is kept for the calculation; only the displayed value is rounded for readability.

Reference: NIST conversion factors

Angle

Popular conversions

Conversion table

1 Degree equals

Unit Value
Radian rad 0.0174532925199
Gradian grad 1.11111111111
Minute of arc ' 60
Second of arc '' 3600
Turn turn 0.00277777777778
Angular mil mil 17.7777777778

FAQ

Degree to Radian questions

How do you convert Degree to Radian?

Use the formula 1 deg = 0.0174532925199 rad. As a quick check, 1 deg equals 0.0174532925199 rad.

Is the Degree to Radian conversion exact?

This page uses fixed constants from the Converter Science catalog. Displayed results are rounded only to keep the page readable.