Revolutions to Gradians Converter
Enter the angle in revolutions below to convert it to gradians.
Result in Gradians:
Do you want to convert gradians to revolutions?
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How to Convert Revolutions to Gradians
To convert a measurement in revolutions to a measurement in gradians, multiply 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:
gradians = revolutions × 400
The angle in gradians is equal to the angle in revolutions multiplied by 400.
For example, here's how to convert 5 revolutions to gradians using the formula above.
gradians = (5 r × 400) = 2,000g
How Many Gradians Are in a Revolution?
There are 400 gradians in a revolution, which is why we use this value in the formula above.
1 r = 400g
Revolutions and gradians are both units used to measure angle. Keep reading to learn more about each unit of measure.
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.
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.
Revolution to Gradian Conversion Table
| Revolutions | Gradians |
|---|---|
| 1 r | 400g |
| 2 r | 800g |
| 3 r | 1,200g |
| 4 r | 1,600g |
| 5 r | 2,000g |
| 6 r | 2,400g |
| 7 r | 2,800g |
| 8 r | 3,200g |
| 9 r | 3,600g |
| 10 r | 4,000g |
| 11 r | 4,400g |
| 12 r | 4,800g |
| 13 r | 5,200g |
| 14 r | 5,600g |
| 15 r | 6,000g |
| 16 r | 6,400g |
| 17 r | 6,800g |
| 18 r | 7,200g |
| 19 r | 7,600g |
| 20 r | 8,000g |
| 21 r | 8,400g |
| 22 r | 8,800g |
| 23 r | 9,200g |
| 24 r | 9,600g |
| 25 r | 10,000g |
| 26 r | 10,400g |
| 27 r | 10,800g |
| 28 r | 11,200g |
| 29 r | 11,600g |
| 30 r | 12,000g |
| 31 r | 12,400g |
| 32 r | 12,800g |
| 33 r | 13,200g |
| 34 r | 13,600g |
| 35 r | 14,000g |
| 36 r | 14,400g |
| 37 r | 14,800g |
| 38 r | 15,200g |
| 39 r | 15,600g |
| 40 r | 16,000g |
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