rev to rad – Turns to Radians Converter

📏 Turns to Radians Converter

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

Quick answer: 1 turn (revolution) (rev) = 6.2831853 radians (rad). Formula: rad = rev × 6.2831853.

Updated October 2026 · Free · No sign-up · Works on any device

Value

From

1 rev =

6.2831853 rad

rad = rev × 6.2831853

1 turn (revolution) = 6.2831853 rad · rad to rev

Turns to Radians conversion table

Turns (rev)	Radians (rad)
0.1 rev	0.62831853 rad
0.5 rev	3.1415927 rad
1 rev	6.2831853 rad
2 rev	12.566371 rad
3 rev	18.849556 rad
5 rev	31.415927 rad
10 rev	62.831853 rad
20 rev	125.66371 rad
25 rev	157.07963 rad
50 rev	314.15927 rad
100 rev	628.31853 rad
1,000 rev	6,283.1853 rad

Other angle conversions

rev to °rev to rad rev to gon rev to ′rev to ″

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Preview

How to convert turns to radians

Multiply the number of turns by 6.2831853 to get radians: rad = rev × 6.2831853.

Example: 5 rev = 31.415927 rad.

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

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Frequently asked questions

How many radians are in a turn (revolution)?

1 turn (revolution) = 6.2831853 radians.

How do I convert turns to radians?

Use the formula rad = rev × 6.2831853. For example, 5 rev = 31.415927 rad.

How do I convert radians back to turns?

1 radian = 0.15915494 turns. Use the rad to rev 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.