Radians to Revolutions Converter
Quick answer: To convert radians to revolutions, multiply by 0.1591549. For example, 10 rad is 1.591549 rev. One radian equals 0.1591549 rev.
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Use the Radians to Revolutions Converter
Radians to Revolutions formula and what each symbol means
rev = rad × 0.1591549
| Symbol | Meaning |
|---|---|
| rad | Radian |
| rev | Turn |
Radians to Revolutions examples
1 rad
1 rad × 0.1591549 = 0.1591549 rev.
10 rad
10 rad × 0.1591549 = 1.591549 rev.
100 rad
100 rad × 0.1591549 = 15.91549 rev.
Radians compared with Revolutions
One rev is 6.283 times as large as one rad, so your number gets smaller when you convert radians to revolutions and bigger when you convert back. If the answer is not smaller than what you typed, you multiplied instead of dividing.
About radians and revolutions
Radian (rad): The SI unit of plane angle: the angle subtended by an arc equal to the radius. Turn (rev): One full turn, 360 degrees or 2π radians.
Where radians to revolutions conversions are used
Navigation and surveying use degrees, while maths, physics and programming use radians. Machining and construction use degrees; some drafting and military work uses gradians or mils.
How to calculate Radians to Revolutions step by step
- Enter the value in rad (the starting unit).
- Multiply by 0.1591549, because 1 rad = 0.1591549 rev.
- The product is the value in rev. To go back, divide by 0.1591549 or multiply by 6.283185.
Popular angle conversions
How to read your Radians to Revolutions result
Quick estimate: multiply by about 0.16 to get revolutions from radians; this is within 0.6% of the exact factor. A full turn is 360 degrees, 400 gradians or 2π radians (about 6.28319).
| RADIANS | REVOLUTIONS |
|---|---|
| 1 | 0.1591549 |
| 2 | 0.3183099 |
| 5 | 0.7957747 |
| 10 | 1.591549 |
| 20 | 3.183099 |
| 50 | 7.957747 |
| 100 | 15.91549 |
| 1,000 | 159.1549 |
Revolutions to Radians: quick table
| REVOLUTIONS | RADIANS |
|---|---|
| 1 | 6.283185 |
| 5 | 31.41593 |
| 10 | 62.83185 |
| 25 | 157.0796 |
| 50 | 314.1593 |
| 100 | 628.3185 |
| 250 | 1,570.796 |
| 500 | 3,141.593 |
Common mistakes when calculating Radians to Revolutions
- Leaving a calculator in degree mode when the input is in radians (or the reverse).
- Dividing when you should multiply: from rad to rev multiply by 0.1591549; from rev to rad divide by 0.1591549.
Radians to Revolutions FAQ
How many rev are in 1 rad?
1 rad equals 0.1591549 rev.
How many rad are in 1 rev?
1 rev equals 6.283185 rad.
Is 1 rad = 0.1591549 rev an exact conversion?
The factor is shown rounded to 7 significant figures (0.1591549). The calculator above uses more digits.
What is a radian (rad)?
The SI unit of plane angle: the angle subtended by an arc equal to the radius.
How can I estimate radians to revolutions in my head?
Quick estimate: multiply by about 0.16 to get revolutions from radians; this is within 0.6% of the exact factor.
What is 75 rad in revolutions?
75 rad = 11.93662 rev (since 75 × 0.1591549).
What is 300 rad in revolutions?
300 rad = 47.74648 rev (since 300 × 0.1591549).
What is 12 rad in revolutions?
12 rad = 1.909859 rev (since 12 × 0.1591549).
How many decimals should I keep when converting rad to rev?
Match the precision of your original measurement. For example, 1.591549 rev rounds to 1.59 rev at 3 significant figures; keep more digits only for engineering or scientific work.
More in Angle converters
- Gradians to Revolutions Converter
- Gradians to Radians Converter
- Degrees to Gradians Converter
- Gradians to Degrees Converter
- Degrees to Radians Converter
- Degrees to Revolutions Converter
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Method, review and disclaimer
Edited by: Hemant Kumar and Anjita Rai, founders of ToolsVault (SEO and content professional, not a licensed adviser). Method: this tool runs in your browser using the formula shown on this page; the numbers you enter are not sent to our servers. Sources: NIST SP 811, Appendix B.8: conversion factors, BIPM: the SI derived units