Quick answer: 1 Degree in Radian
1 ° equals 0.0174533 rad. To convert Degree to Radian, multiply by 0.0174533 using the free calculator above — no signup needed.
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About Angle Converter
The Angle Converter converts between 5 different units, including Degree, Radian, Gradian, Arcminute, Arcsecond. The base unit is the Degree, and every other unit on this page is defined as an exact multiple of it. Type any value into the calculator above to convert instantly — free, unlimited, no signup and nothing to install.
Common equivalents: 1 Degree = 0.0174533 Radian, 1.111111 Gradian, 60 Arcminute.
Scale of this category: the smallest unit is the Arcsecond (") and the largest is the Radian (rad).
Last updated: 2026-09-15
Angle conversion factors
| Unit | Symbol | Value in Degree |
|---|---|---|
| Degree | ° | 1 ° = 1 ° |
| Radian | rad | 1 rad = 57.29578 ° |
| Gradian | grad | 1 grad = 0.9 ° |
| Arcminute | ' | 1 ' = 0.0166667 ° |
| Arcsecond | " | 1 " = 0.000277778 ° |
Worked Examples
See exactly how the conversion works with real numbers, step by step.
How much is 1 Degree in Radian?
- Multiply 1 by the conversion factor 0.0174533
- 1 Degree = 0.0174533 Radian
How much is 10 Degree in Radian?
- Multiply 10 by the conversion factor 0.0174533
- 10 Degree = 0.174533 Radian
How much is 100 Degree in Radian?
- Multiply 100 by the conversion factor 0.0174533
- 100 Degree = 1.745329 Radian
Quick Conversion Reference Table
| Degree (°) | Radian (rad) |
|---|---|
| 1 ° (Degree) | 0.0174533 rad (Radian) |
| 2 ° (Degree) | 0.0349066 rad (Radian) |
| 5 ° (Degree) | 0.0872665 rad (Radian) |
| 10 ° (Degree) | 0.174533 rad (Radian) |
| 20 ° (Degree) | 0.349066 rad (Radian) |
| 50 ° (Degree) | 0.872665 rad (Radian) |
| 100 ° (Degree) | 1.745329 rad (Radian) |
| 500 ° (Degree) | 8.726646 rad (Radian) |
| 1000 ° (Degree) | 17.453293 rad (Radian) |
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How to Use This Converter
- Enter your value
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FAQ
How much is 1 Degree in Radian?
1 Degree = 0.0174533 Radian.
How do I convert Degree to Radian?
Enter your value in Degree into the converter above and the result in Radian appears instantly. 1 ° equals 0.0174533 rad — just multiply your value by 0.0174533.
What is the formula for Degree to Radian?
The formula is: value in Radian = value in Degree × 0.0174533. For example, 10 ° × 0.0174533 = 0.174533 rad.
Is this Degree to Radian converter free and accurate?
Yes. This Degree to Radian converter is 100% free, uses the exact international conversion factor (0.0174533), and works on any device with no signup.
How do I convert Radian back to Degree?
To convert back, divide by 0.0174533 (or multiply by 57.29578). You can also use our dedicated How Many Degree in 1 Radian? page for instant results.
Do I need to download an app or sign up?
No. The converter runs entirely in your browser — nothing to install, no account, no fees. It even keeps working offline once the page has loaded.
Which Angle units are supported?
This converter supports 5 units: Degree, Radian, Gradian, Arcminute, Arcsecond.