Degrees to Revolutions Converter
Quick answer: To convert degrees to revolutions, multiply by 0.002777778. For example, 10 ° is 0.02777778 rev. One degree equals 0.002777778 rev.
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Use the Degrees to Revolutions Converter
Degrees to Revolutions formula and what each symbol means
rev = ° × 0.002777778
| Symbol | Meaning |
|---|---|
| ° | Degree |
| rev | Turn |
Degrees to Revolutions examples
1 °
1 ° × 0.002777778 = 0.002777778 rev.
10 °
10 ° × 0.002777778 = 0.02777778 rev.
100 °
100 ° × 0.002777778 = 0.2777778 rev.
Degrees compared with Revolutions
One rev is 360 times as large as one °, so your number gets smaller when you convert degrees to revolutions and bigger when you convert back. If the answer is not smaller than what you typed, you multiplied instead of dividing.
About degrees and revolutions
Degree (°): 1/360 of a full turn. Turn (rev): One full turn, 360 degrees or 2π radians.
Where degrees to revolutions conversions are used
Trigonometry functions in most programming languages expect radians. Navigation and surveying use degrees, while maths, physics and programming use radians.
How to calculate Degrees to Revolutions step by step
- Enter the value in ° (the starting unit).
- Multiply by 0.002777778, because 1 ° = 0.002777778 rev.
- The product is the value in rev. To go back, divide by 0.002777778 or multiply by 360.
Popular angle conversions
How to read your Degrees to Revolutions result
Quick estimate: multiply by about 0.0028 to get revolutions from degrees; this is within 0.8% of the exact factor. To convert degrees to radians multiply by π/180, and to convert radians to degrees multiply by 180/π.
| DEGREES | REVOLUTIONS |
|---|---|
| 1 | 0.002777778 |
| 2 | 0.005555556 |
| 5 | 0.01388889 |
| 10 | 0.02777778 |
| 20 | 0.05555556 |
| 50 | 0.1388889 |
| 100 | 0.2777778 |
| 1,000 | 2.777778 |
Revolutions to Degrees: quick table
| REVOLUTIONS | DEGREES |
|---|---|
| 1 | 360 |
| 5 | 1,800 |
| 10 | 3,600 |
| 25 | 9,000 |
| 50 | 18,000 |
| 100 | 36,000 |
| 250 | 90,000 |
| 500 | 180,000 |
Common mistakes when calculating Degrees to Revolutions
- Mixing gradians (400 per turn) with degrees (360 per turn).
- Dividing when you should multiply: from ° to rev multiply by 0.002777778; from rev to ° divide by 0.002777778.
Degrees to Revolutions FAQ
How many rev are in 1 °?
1 ° equals 0.002777778 rev.
How many ° are in 1 rev?
1 rev equals 360 °.
Is 1 ° = 0.002777778 rev an exact conversion?
The factor is shown rounded to 7 significant figures (0.002777778). The calculator above uses more digits.
What is a turn (rev)?
One full turn, 360 degrees or 2π radians.
How can I estimate degrees to revolutions in my head?
Quick estimate: multiply by about 0.0028 to get revolutions from degrees; this is within 0.8% of the exact factor.
What is 15 ° in revolutions?
15 ° = 0.04166667 rev (since 15 × 0.002777778).
What is 75 ° in revolutions?
75 ° = 0.2083333 rev (since 75 × 0.002777778).
What is 300 ° in revolutions?
300 ° = 0.8333333 rev (since 300 × 0.002777778).
How many decimals should I keep when converting ° to rev?
Match the precision of your original measurement. For example, 0.02777778 rev rounds to 0.0278 rev at 3 significant figures; keep more digits only for engineering or scientific work.
More in Angle converters
- Gradians to Revolutions Converter
- Radians to Degrees Converter
- Revolutions to Radians Converter
- Radians to Gradians Converter
- Revolutions to Gradians Converter
- Radians 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