Angle

Radian to Turn

Convert Radian (rad) to Turn (turn).

Result0.159155 Turn (turn)

Formula and method

result = value × (1 ÷ 6.283185307179586).

The source value is converted to the catalog’s canonical unit, then expressed in the target unit.

Worked examples

These examples use the same conversion engine as the calculator.

  • 1 rad0.15915494 turn
  • 5 rad0.79577472 turn
  • 10 rad1.59154943 turn

Common Radian values

Radian to Turn reference values
Radian (rad)Turn (turn)
10.15915494
20.31830989
50.79577472
101.59154943
253.97887358
507.95774715
10015.91549431
25039.78873577
50079.57747155
1,000159.15494309

How to convert Radian to Turn

  1. Enter a value in Radian in the converter above.
  2. The calculator converts it using the catalog’s linear method.
  3. Choose the decimal precision you need,then copy the displayed result if useful.

Frequently asked questions

What is the formula for Radian to Turn?

result = value × (1 ÷ 6.283185307179586). The source value is converted to the catalog’s canonical unit, then expressed in the target unit.

Can I convert Turn back to Radian?

Yes. Use Swap Units when the reverse pair is available in the catalog. The page URL changes to the reverse conversion and the entered value is retained.

Why can a value be rejected?

The engine rejects non-finite values and negative values for units that do not allow them.

How are displayed decimal places chosen?

Use the Decimal precision selector above the result. Very large or very small results switch to scientific notation when that makes the value easier to read.