ANGLE CONVERSION
Degree to Radian.
Convert degree (°) to radian (rad), with the math explained.
1 ° = 0.01745329252 rad
THE MATH, MADE SIMPLE
How to convert degree to radian
Multiply your degree value by 0.0174532925199 to get the equivalent in radian. Both units are normalized through the radian.
rad = ° × 0.0174532925210 ° = 0.174532925199 rad
Result rounded to 12 significant digits. Change the precision in the calculator to suit your task.QUICK REFERENCE
° to rad conversion table
| Degree (°) | Radian (rad) |
|---|---|
| 1 ° | 0.0174532925199 rad |
| 2 ° | 0.0349065850399 rad |
| 5 ° | 0.0872664625997 rad |
| 10 ° | 0.174532925199 rad |
| 20 ° | 0.349065850399 rad |
| 50 ° | 0.872664625997 rad |
| 100 ° | 1.74532925199 rad |
| 500 ° | 8.72664625997 rad |
| 1,000 ° | 17.4532925199 rad |
About the degree
The degree (°) is a unit of angle. One degree equals 0.0174532925199 radian (base unit) in this calculator.
All degree conversionsAbout the radian
The radian (rad) is a unit of angle. One radian equals 1 radian (base unit) in this calculator.
All radian conversionsCommon questions
What is 1 ° in rad?
One degree equals 0.0174532925199 rad. Use the formula above for other values.
Why might another calculator show a different last digit?
Calculators may round at different stages or use different unit conventions. We keep full JavaScript numeric precision during calculation and round only for display. Choose up to 15 significant digits. Check US versus UK units and the notes for this category.
BROWSE BY UNIT