How to Convert Revolutions to Radians
To convert revolutions to radians, multiply the value by 6.2832.
The Formula
Radians = Revolutions × 6.2832
Key Fact
1 revolution = 6.2832 radians
Tip: To convert radians back to revolutions, divide by 6.2832.
Revolutions to Radians
Convert revolutions (rev) to radians (rad) with formulas, examples, and conversion tables.
rev
rad
1 rev = 6.2832 rad
Full precision:6.2832 rad
Step-by-Step Solution
To convert 1 revolutions to radians, we multiply by 6.2832 because one revolution equals exactly 6.2832 radians.
1 revolution = 6.2832 radians
Since each revolution contains 6.2832 radians, we multiply our value by this factor:
1 × 6.2832 = 6.2832 radians
So 1 revolutions = 6.2832 radians.
Quick check: 6.2832 ÷ 6.2832 = 1 revolutions
Example Conversions
Example 1: 1 rev = 6.2832 rad
1 × 6.2832 = 6.2832
1 × 6.2832 = 6.2832
Example 2: 5 rev = 31.4159 rad
5 × 6.2832 = 31.4159
5 × 6.2832 = 31.4159
Example 3: 10 rev = 62.8318 rad
10 × 6.2832 = 62.8318
10 × 6.2832 = 62.8318
Revolutions to Radians Table
| Revolutions | Radians |
|---|---|
| 1 rev | 6.2832 rad |
| 2 rev | 12.5664 rad |
| 5 rev | 31.4159 rad |
| 10 rev | 62.8318 rad |
| 20 rev | 125.664 rad |
| 25 rev | 157.08 rad |
| 50 rev | 314.159 rad |
| 100 rev | 628.318 rad |
| 250 rev | 1570.8 rad |
| 500 rev | 3141.59 rad |
| 1000 rev | 6283.18 rad |
1 Revolution in Other Units
| Unit | 1 rev = |
|---|---|
| Revolutions to Degrees | 360 ° |
| Revolutions to Radians | 6.2832 rad |
| Revolutions to Gradians | 400 grad |
| Revolutions to Turns | 1 turn |
| Revolutions to Arc Minutes | 21599.96 ′ |
| Revolutions to Arc Seconds | 1295998.96 ″ |
| Revolutions to Milliradians | 6283.18 mrad |
| Revolutions to Quadrants | 4 quad |
| Revolutions to Sextants | 6 sext |