Radians to Degrees
1 radian = 57.296 degrees · 1 ° = 0.017453 rad
1 radian = 57.296 degrees
How it’s calculated
° = rad × 57.29577951
- Multiply the value in radians by 57.29577951.
- To go back, divide by 57.29577951 (or multiply by 0.01745329252).
- 1 rad = 57.29577951 ° · 1 ° = 0.01745329252 rad
Show worked solutionFactor, unit cancellation and rounding, step by step
Find the conversion factor
By definition 1 rad = 57.2957795130823 °. Source: BIPM SI Brochure (9th ed.) (SI prefixes and accepted units); NIST SP 811 / Handbook 44.
Multiply by the factor written as a fraction
Put rad in the denominator so it cancels, leaving °.
Calculate (unrounded)
Round the answer
Rounded to 5 significant figures.
Answer: 57.296 °
1 rad in other units
Batch convert rad → °
- 1 rad = 57.296 °
- 5 rad = 286.48 °
- 10 rad = 572.96 °
- 25 rad = 1432.4 °
Quick examples
- 1 radian = 57.296 degrees
- 5 radians = 286.48 degrees
- 10 radians = 572.96 degrees
- 25 radians = 1,432.4 degrees
- 100 radians = 5,729.6 degrees
About these units
Radian (rad)
SI (metric)
Base unit
Source: BIPM SI Brochure (9th ed.) (SI prefixes and accepted units)
Degree (°)
other
1 ° = 0.01745329252 rad
Source: NIST SP 811 / Handbook 44
Radians to degrees conversion table
| Radians (rad) | Degrees (°) |
|---|---|
| 0.1 rad | 5.7296 ° |
| 0.5 rad | 28.648 ° |
| 1 rad | 57.296 ° |
| 2 rad | 114.59 ° |
| 3 rad | 171.89 ° |
| 4 rad | 229.18 ° |
| 5 rad | 286.48 ° |
| 6 rad | 343.77 ° |
| 7 rad | 401.07 ° |
| 8 rad | 458.37 ° |
| 9 rad | 515.66 ° |
| 10 rad | 572.96 ° |
| 15 rad | 859.44 ° |
| 20 rad | 1,145.9 ° |
| 25 rad | 1,432.4 ° |
| 30 rad | 1,718.9 ° |
| 40 rad | 2,291.8 ° |
| 50 rad | 2,864.8 ° |
| 75 rad | 4,297.2 ° |
| 100 rad | 5,729.6 ° |
| 250 rad | 14,324 ° |
| 500 rad | 28,648 ° |
| 1,000 rad | 57,296 ° |
Related conversions
Frequently asked questions
How do I convert radians to degrees?
Use ° = rad × 57.29577951. Multiply the value in radians by 57.29577951.
How many degrees are in 1 radian?
1 radian (rad) equals 57.296 degrees (°); more precisely 57.29577951.
How many radians are in 1 degree?
1 degree (°) equals 0.017453 radians (rad); more precisely 0.01745329252.
What is 10 rad in °?
10 radians = 572.96 degrees.
Formula: ° = rad × 57.29577951. Factors last reviewed 2026-10-27.