Gradians to Revolutions Conversion
Enter the angle in gradians below to get the value converted to revolutions.
How to Convert Gradians to Revolutions
To convert a gradian measurement to a revolution measurement, divide the angle by the conversion ratio. One revolution is equal to 400 gradians, so use this simple formula to convert:
The angle in revolutions is equal to the gradians divided by 400.
Gradians and revolutions are both units used to measure angle. Keep reading to learn more about each unit of measure.
Gradians
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.
| 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 formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.
Revolutions
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.
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
