Degree to Radian Converter
1 Degree = 0.01745329 Radians. To convert Degrees to Radians, multiply by 0.01745329.
Result updates as you type
Recent:
1 Degree = 0.01745329 Radian
Formula
To convert Degrees to Radians, multiply the value by 0.01745329. One Degree equals 0.01745329 Radians.
rad = ° × 0.01745329
For a quick mental estimate, divide Degrees by about 57 — precisely, one Radian is 57.2958 Degrees.
Worked examples
- 1 Degree = 0.01745329 Radians
- 5 Degrees = 0.08726643 Radians
- 10 Degrees = 0.17453286 Radians
- 100 Degrees = 1.7453 Radians
Degrees to Radians table
| Degrees (°) | Radians (rad) |
|---|---|
| 1 | 0.01745329 |
| 2 | 0.03490657 |
| 3 | 0.05235986 |
| 4 | 0.06981315 |
| 5 | 0.08726643 |
| 10 | 0.17453286 |
| 25 | 0.43633216 |
| 50 | 0.87266431 |
| 100 | 1.7453 |
| 250 | 4.3633 |
| 500 | 8.7266 |
| 1000 | 17.4533 |
About Degree and Radian
Both the Degree (°) and the Radian (rad) measure angle. One Degree is equal to 0.01745329 Radians, so you can convert any measurement by multiplying by 0.01745329. The calculator above updates instantly, and the reference table lists common Degree-to-Radian values for quick lookups.
Unit definitions
- Degree (°)
- The Degree (°) is the reference unit for angle in this converter — every other angle unit is defined relative to it.
- Radian (rad)
- The Radian (rad) is a unit of angle equal to 57.2958 Degrees.
Frequently asked questions
- How do you convert Degrees to Radians?
- Multiply the number of Degrees by 0.01745329. For example, 1 Degree × 0.01745329 = 0.01745329 Radians.
- How many Radians are in a Degree?
- There are 0.01745329 Radians in one Degree.
- What is 10 Degrees in Radians?
- 10 Degrees is equal to 0.17453286 Radians.
- How do you convert Radians back to Degrees?
- Multiply the number of Radians by 57.2958 to get Degrees. One Radian equals 57.2958 Degrees.