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📏 Radians to Turns Converter

Convert radians (rad) to turns (rev) instantly, with the formula, a worked example and a conversion table.

Quick answer: 1 radian (rad) = 0.15915494 turns (rev). Formula: rev = rad × 0.15915494.

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Radians to Turns Converter inputs

Result

1 rad =

0.15915494 rev

rev = rad × 0.15915494

1 radian = 0.15915494 rev · rev to rad

Radians to Turns conversion table

Radians (rad)Turns (rev)
0.1 rad0.015915494 rev
0.5 rad0.079577472 rev
1 rad0.15915494 rev
2 rad0.31830989 rev
3 rad0.47746483 rev
5 rad0.79577472 rev
10 rad1.5915494 rev
20 rad3.1830989 rev
25 rad3.9788736 rev
50 rad7.9577472 rev
100 rad15.915494 rev
1,000 rad159.15494 rev

Other angle conversions

rad to °rad to gonrad to ′rad to ″rad to rev

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How to convert radians to turns

Multiply the number of radians by 0.15915494 to get turns: rev = rad × 0.15915494.

Example: 5 rad = 0.79577472 rev.

The radian (rad) and the turn (revolution) (rev) are both units of angle. Need the opposite direction? Use the rev to rad converter.

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Metric and imperial units

The metric system (SI) is used by almost every country and by science worldwide. Its units scale by powers of ten – 1 kilometer is 1,000 meters, 1 meter is 100 centimeters – which makes conversions inside the system easy. The imperial and US customary systems (inches, feet, pounds, gallons) are still used daily in the United States and partly in the UK.

Since 1959 the inch has been defined as exactly 2.54 centimeters and the pound as exactly 0.45359237 kilograms, so conversions between the two systems are exact. Note that a US gallon (3.785 L) and an imperial gallon (4.546 L) are different – choose the right one above.

This converter covers 18 categories and 106 units: length, weight, temperature, volume, area, speed, time, data, energy, pressure, power, angle, force, torque, frequency, flow rate, illuminance, density.

Frequently asked questions

How many turns are in a radian?

1 radian = 0.15915494 turns.

How do I convert radians to turns?

Use the formula rev = rad × 0.15915494. For example, 5 rad = 0.79577472 rev.

How do I convert turns back to radians?

1 turn (revolution) = 6.2831853 radians. Use the rev to rad converter linked on this page.

Are these conversions exact?

Yes – all factors use the internationally defined values (for example 1 inch = 2.54 cm exactly, 1 pound = 0.45359237 kg exactly). Results are rounded to 8 significant digits for display.