turns (rev): angle unit guide

What is being measured?

An angle can be represented in radians, degrees or turns. Trigonometric formulas must use the angular convention expected by the function.

Convert compatible measurements of the same quantity. A unit conversion does not infer a new physical property.

Meaning of rev

turns uses the symbol rev in this library and measures angle. Under the stated reference convention, 1 rev = approximately 6.28318530718 rad. This equivalence changes how a known value is written. It does not increase measurement accuracy or establish whether a measurement is appropriate to a real application.

Conversion method

Multiply the value by the source factor (6.283185307179586), then divide by the target factor (1). The factor ratio expresses the same angle measurement in the other unit.

Worked example

For a known value of 10 rev, the reference conversion gives 62.8318530718 rad. Converting that result back gives approximately 10 rev. This reverse check helps catch a reversed factor, but matching round-trip arithmetic alone does not independently verify a source definition.

Common reference values

Compare one rev with other units

Precision and common mistakes

• Keep the source and target quantity consistent. A matching symbol is not enough to establish a compatible definition.
• Record the original measurement precision. Showing twelve significant digits in a table does not make a rounded input more precise.
• Check symbol capitalization, prefixes and any regional convention in the source. Use the displayed unit definition rather than a similarly named unit.
• Factors involving repeating fractions or π use finite numerical precision. Round the final answer to the precision justified by your input.

Use a working converter

• Angle converter
• Turns to degrees converter
• Turns to radians converter
• Turns to gradians converter
• Turns to arcminutes converter
• Turns to arcseconds converter

Source and verification scope

Examples and tables are computed from the versioned unit definitions used by the linked converters. The source access dates appear below. Computandum is independent of the cited organizations; a citation does not mean that a publisher endorses this page or an actual project.

Read the calculation and sourcing methodology →