Gradians to Revolutions Converter
Enter the angle in gradians below to convert it to revolutions.
Result in Revolutions:
Do you want to convert revolutions to gradians?
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How to Convert Gradians to Revolutions
To convert a measurement in gradians to a measurement in revolutions, divide the angle by the following conversion ratio: 400 gradians/revolution.
Since one revolution is equal to 400 gradians, you can use this simple formula to convert:
revolutions = gradians ÷ 400
The angle in revolutions is equal to the angle in gradians divided by 400.
For example, here's how to convert 500 gradians to revolutions using the formula above.
revolutions = (500g ÷ 400) = 1.25 r
Gradians and revolutions are both units used to measure angle. Keep reading to learn more about each unit of measure.
What Is a Gradian?
A gradian is equal to 1/400 of a revolution or circle, or 9/10°. The grad, or gon, is more precisely defined as π/200, or 1.570796 × 10-2 radians.[1]
This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians as shown in the chart below.
| Gradians | Degrees |
|---|---|
| 0 grad | 0° |
| 100 grad | 90° |
| 200 grad | 180° |
| 300 grad | 270° |
| 400 grad | 360° |
A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as g, and are also sometimes abbreviated as gr or grd. For example, 1 gradian can be written as 1g, 1 gr, or 1 grd.
In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.
Learn more about gradians.
What Is a Revolution?
A revolution, or turn, is equal to 1 rotation around a circle, or 360°. Revolutions are commonly used to measure the speed of rotation, for example when measuring the revolutions per minute (RPM) of a vehicle's engine.
A revolution is sometimes also referred to as a turn, cycle, or complete rotation. Revolutions can be abbreviated as r, and are also sometimes abbreviated as rev or cyc. For example, 1 revolution can be written as 1 r, 1 rev, or 1 cyc.
Learn more about revolutions.
Gradian to Revolution Conversion Table
| Gradians | Revolutions |
|---|---|
| 1g | 0.0025 r |
| 2g | 0.005 r |
| 3g | 0.0075 r |
| 4g | 0.01 r |
| 5g | 0.0125 r |
| 6g | 0.015 r |
| 7g | 0.0175 r |
| 8g | 0.02 r |
| 9g | 0.0225 r |
| 10g | 0.025 r |
| 20g | 0.05 r |
| 30g | 0.075 r |
| 40g | 0.1 r |
| 50g | 0.125 r |
| 60g | 0.15 r |
| 70g | 0.175 r |
| 80g | 0.2 r |
| 90g | 0.225 r |
| 100g | 0.25 r |
| 200g | 0.5 r |
| 300g | 0.75 r |
| 400g | 1 r |
| 500g | 1.25 r |
| 600g | 1.5 r |
| 700g | 1.75 r |
| 800g | 2 r |
| 900g | 2.25 r |
| 1,000g | 2.5 r |
References
- Ambler Thompson and Barry N. Taylor, Guide for the Use of the International System of Units (SI), National Institute of Standards and Technology, https://physics.nist.gov/cuu/pdf/sp811.pdf