Convert revolutions to radians and radians to revolutions instantly. Bidirectional angle converter with formula and common values.
To convert revolutions to radians, multiply by 2π. Each revolution corresponds to one complete traversal of the unit circle.
| Revolutions | Radians |
|---|---|
| 0.25 | 1.5708 |
| 0.5 | 3.1416 |
| 1 | 6.2832 |
| 2.5 | 15.708 |
| 5 | 31.416 |
| 10 | 62.832 |
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Multiply the revolution value by 2π (approximately 6.2832). For example, 2.5 rev = 15.708 rad.
Radians simplify calculus and physics equations. The derivative of sin(x) is cos(x) only when x is in radians, making many formulas cleaner.
There is no universally standardized symbol, but "rev" and "r" are common. In rotational speed, "rpm" stands for revolutions per minute.