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Revolutions to Radians Converter

Convert revolutions to radians and radians to revolutions instantly. Bidirectional angle converter with formula and common values.

rev

Radians

15.708

rad

2.5 rev = 15.708 rad

rad = rev × 2π

Revolutions to Radians: 1 rev equals 6.283185 rad. To convert revolutions to radians, multiply by 6.283185 (rad = rev × 2π). For example, 10 rev = 62.831853 rad.

How to Convert Revolutions to Radians

To convert from revolutions to radians, multiply the value by 6.283185. The conversion is linear, meaning doubling the input doubles the output.

Conversion Formula

  • Revolutions to Radians: rad = rev × 2π
  • Radians to Revolutions: rev = rad ÷ 2π

Revolutions to Radians Conversion Chart

Revolutions (rev)Radians (rad)
0.10.628319
0.251.570796
0.53.141593
16.283185
212.566371
318.849556
531.415927
1062.831853
20125.663706
25157.079633
50314.159265
100628.318531
2501570.796327
10006283.185307

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FAQ

How do I convert revolutions to radians?

Multiply the revolution value by 2π (approximately 6.2832). For example, 2.5 rev = 15.708 rad.

Why use radians instead of revolutions?

Radians simplify calculus and physics equations. The derivative of sin(x) is cos(x) only when x is in radians, making many formulas cleaner.

What is the symbol for revolution?

There is no universally standardized symbol, but "rev" and "r" are common. In rotational speed, "rpm" stands for revolutions per minute.

How many radians are in 1 revolution?

1 rev equals 6.283185 rad.

How do you convert revolutions to radians?

Multiply the revolution value by 6.283185. Formula: rad = rev × 2π.

How many radians are in 5 revolutions?

5 rev = 31.415927 rad.

How do you convert radians back to revolutions?

Use the inverse formula: rev = rad ÷ 2π. For example, 1 rad = 0.159155 rev.