Degree to Radian
Convert Degree to Radian instantly. Free online angle unit converter with exact formula, conversion table and FAQ.
Reserved for a responsive leaderboard above the conversion details.
Professional calculator style
World-scale conversion engine
30+ categories
6,500+ units
Instant results
Offline ready
Converter
Length Converter
Convert metric, imperial, and nautical distance units.
Context values
Some unit families need one extra value for a physically accurate result.
Use the converter to see the formula.
Results update instantly for Degree to Radian conversions.
Reserved above the conversion cards and below the converter.
Formula
radian = degree × 0.017453
degree = radian × 57.29578
Conversion table
| 1 deg | 0.017453 rad |
| 5 deg | 0.087266 rad |
| 10 deg | 0.174533 rad |
| 20 deg | 0.349066 rad |
| 50 deg | 0.872665 rad |
| 100 deg | 1.745329 rad |
| 500 deg | 8.726646 rad |
| 1000 deg | 17.453293 rad |
Related conversions
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
What is the source unit in this conversion?
The source unit is the degree (deg). A degree is pi/180 radians.
What is the destination unit in this conversion?
The destination unit is the radian (rad). The radian is the SI angle unit.
How do I convert degree to radian?
Multiply the degree value by 0.017453. For example, 10 deg × 0.017453 = 0.174533 rad.
Is the degree to radian conversion exact?
Yes. The relationship between these units is a fixed mathematical or SI-defined ratio, so the conversion factor is exact rather than a measured approximation.
Where is this conversion commonly used?
It's used whenever a value expressed in degree needs to be compared with, or reported in, radian, such as in engineering, scientific, or everyday calculations.
Can I convert radian back to degree?
Yes. Multiply the radian value by 57.29578 to get degree.
Reserved between the FAQ and the article so the page stays balanced.
About this conversion
This page converts degree (deg) to radian (rad) within the angle converter.
A degree is pi/180 radians. The radian is the SI angle unit.
The formula is radian = degree × 0.017453, based on each unit's fixed relationship to the angle converter's base unit.
The conversion is exact, since it relies on a fixed numerical ratio between the two units rather than a measured or approximate value.
Use the calculator above for instant results, or the table below for common degree values already converted to radian.