To convert degrees to revolutions, divide the angle by 360, as one revolution equals 360 degrees, utilizing the formula revolutions = degrees ÷ 360.
Degrees to Revolutions Converter
Enter the angle in degrees below to get the value converted to revolutions.
How the Degrees to Revolutions Converter Works
- Starting Point – The Interface:
- The Calculation Begins:
- Understanding the Formula:
- Example Calculation:
- Understanding the Units:
- Degree: A degree measures angles, like how many slices of a circle you’re looking at. It’s a small part of a full rotation, with 360 degrees making one complete revolution.
- Revolution: A revolution is a complete rotation around a circle, equivalent to 360 degrees. It’s often used to measure things like how fast something spins.
- Final Outcome:
Imagine you’re using a calculator where you input an angle in degrees. It’s like dialing in a certain angle on a protractor.
Once you enter the degree value, the calculator converts it into revolutions. Here’s how:
To convert degrees to revolutions, we use a simple formula:
Revolutions = Degrees ÷ 360
This means that the angle in revolutions is equal to the angle in degrees divided by 360. Think of it as slicing up a full rotation into 360 equal pieces, and your angle is how many of those pieces you’re looking at.
For instance, let’s say you have an angle of 500 degrees. Plugging this into the formula:
Revolutions = (500° ÷ 360) = 1.388889 r
So, 500 degrees is equal to approximately 1.39 revolutions.
Before we move on, let’s clarify what degrees and revolutions are:
After you enter your angle in degrees, the calculator quickly tells you how many revolutions it corresponds to. This can help you understand angles in a different way and is especially useful when dealing with rotating objects or circular motions.
Frequently Used Values: Degrees to Revolutions Converter
| Degrees | Revolutions |
|---|---|
| 0° | 0 rev |
| 30° | 0.0833 rev |
| 45° | 0.125 rev |
| 60° | 0.1667 rev |
| 90° | 0.25 rev |
| 120° | 0.3333 rev |
| 135° | 0.375 rev |
| 150° | 0.4167 rev |
| 180° | 0.5 rev |
| 210° | 0.5833 rev |
| 225° | 0.625 rev |
| 240° | 0.6667 rev |
| 270° | 0.75 rev |
| 300° | 0.8333 rev |
| 315° | 0.875 rev |
| 330° | 0.9167 rev |
| 360° | 1 rev |
