Revolutions to Degrees Converter
Quick answer: To convert revolutions to degrees, multiply by 360. For example, 10 rev is 3,600 °. One turn equals 360 °.
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Use the Revolutions to Degrees Converter
Revolutions to Degrees formula and what each symbol means
° = rev × 360
| Symbol | Meaning |
|---|---|
| rev | Turn |
| ° | Degree |
Revolutions to Degrees examples
1 rev
1 rev × 360 = 360 °.
10 rev
10 rev × 360 = 3,600 °.
100 rev
100 rev × 360 = 36,000 °.
Revolutions compared with Degrees
One rev is 360 times as large as one °, so your number gets bigger when you convert revolutions to degrees and smaller when you convert back. If the answer is not larger than what you typed, you divided instead of multiplying.
About revolutions and degrees
Turn (rev): One full turn, 360 degrees or 2π radians. Degree (°): 1/360 of a full turn.
Where revolutions to degrees 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 Revolutions to Degrees step by step
- Enter the value in rev (the starting unit).
- Multiply by 360, because 1 rev = 360 °.
- The product is the value in °. To go back, divide by 360 or multiply by 0.002777778.
Popular angle conversions
How to read your Revolutions to Degrees result
To convert degrees to radians multiply by π/180, and to convert radians to degrees multiply by 180/π.
| REVOLUTIONS | DEGREES |
|---|---|
| 1 | 360 |
| 2 | 720 |
| 5 | 1,800 |
| 10 | 3,600 |
| 20 | 7,200 |
| 50 | 18,000 |
| 100 | 36,000 |
| 1,000 | 360,000 |
Degrees to Revolutions: quick table
| DEGREES | REVOLUTIONS |
|---|---|
| 1 | 0.002777778 |
| 5 | 0.01388889 |
| 10 | 0.02777778 |
| 25 | 0.06944444 |
| 50 | 0.1388889 |
| 100 | 0.2777778 |
| 250 | 0.6944444 |
| 500 | 1.388889 |
Common mistakes when calculating Revolutions to Degrees
- Mixing gradians (400 per turn) with degrees (360 per turn).
- Dividing when you should multiply: from rev to ° multiply by 360; from ° to rev divide by 360.
Revolutions to Degrees FAQ
How many ° are in 1 rev?
1 rev equals 360 °.
How many rev are in 1 °?
1 ° equals 0.002777778 rev.
Is 1 rev = 360 ° an exact conversion?
The factor is shown rounded to 7 significant figures (360). The calculator above uses more digits.
What is a degree (°)?
1/360 of a full turn.
How can I estimate revolutions to degrees in my head?
One rev is 360 times as large as one °, so your number gets bigger when you convert revolutions to degrees and smaller when you convert back. If the answer is not larger than what you typed, you divided instead of multiplying.
What is 300 rev in degrees?
300 rev = 108,000 ° (since 300 × 360).
What is 12 rev in degrees?
12 rev = 4,320 ° (since 12 × 360).
What is 60 rev in degrees?
60 rev = 21,600 ° (since 60 × 360).
How many decimals should I keep when converting rev to °?
Match the precision of your original measurement. For example, 3,600 ° rounds to 3,600 ° at 3 significant figures; keep more digits only for engineering or scientific work.
More in Angle converters
- Radians to Degrees Converter
- Degrees to Gradians Converter
- Gradians to Revolutions Converter
- Degrees to Radians Converter
- Gradians to Radians Converter
- Gradians to Degrees 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