Gradians to Revolutions Conversion

Enter the angle in gradians below to get the value converted to revolutions.

SWAP UNITS
Results in Revolutions:
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1g = 0.0025 r

How to Convert Gradians to Revolutions

Protractors are often used to measure angle

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:

revolutions = gradians ÷ 400

The angle in revolutions is equal to the gradians divided by 400.

For example, here's how to convert 500 gradians to revolutions using the formula above.
500g = (500 ÷ 400) = 1.25 r

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.

Right angles in gradians
GradiansDegrees
0 grad
100 grad90°
200 grad180°
300 grad270°
400 grad360°

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.

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

Gradian measurements converted to revolutions
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

  1. 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