Quick Answer
1 degree equals 0.0174533 radians. To convert degrees to radians, multiply the value by this factor.
Key Facts
- Reverse: 1 radian = 57.2958 degrees.
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1 ° = 0.0174533 radians
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1 degree equals 0.0174533 radians. To convert degrees to radians, multiply the value by this factor.
Formula: value ÷ 57.2958
Prefer to skip the math? Type any value in the converter above and it converts instantly.
| Degrees (°) | Radians (rad) |
|---|---|
| 1 ° | 0.0174533 rad |
| 2 ° | 0.0349066 rad |
| 5 ° | 0.0872665 rad |
| 10 ° | 0.174533 rad |
| 25 ° | 0.436332 rad |
| 50 ° | 0.872665 rad |
| 100 ° | 1.74533 rad |
| 250 ° | 4.36332 rad |
| 500 ° | 8.72665 rad |
| 1,000 ° | 17.4533 rad |
Enter the value above and the result appears instantly — the calculation runs entirely in your browser. Formula: value ÷ 57.2958.
1 degree = 0.0174533 radians (shown to 6 significant figures — the converter itself computes at full precision). The reverse factor is 1 radian = 57.2958 degrees.
1 ° = 0.0174533 rad; 10 ° = 0.174533 rad; 100 ° = 1.74533 rad. Use the full conversion table below for more reference values.
The gradian was defined during the French metrication effort so a right angle equals exactly 100 gradians, making a full turn 400 — nicer for decimal math, less aligned with astronomy and timekeeping (360 divides evenly by 2, 3, 4, 5, 6, 8, 9, 10, 12…). Engineering in most countries still uses degrees; gradians survive mainly in surveying and some European calculators.