Revolutions to Gradians Conversion

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

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Results in Gradians:
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1 r = 400g

How to Convert Revolutions to Gradians

Protractors are often used to measure angle

To convert a revolution measurement to a gradian measurement, multiply the angle by the conversion ratio. One revolution is equal to 400 gradians, so use this simple formula to convert:

gradians = revolutions × 400

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

For example, here's how to convert 5 revolutions to gradians using the formula above.
5 r = (5 × 400) = 2,000g

Revolutions and gradians are both units used to measure angle. Keep reading to learn more about each unit of measure.

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.

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.

Revolution to Gradian Conversion Table

Revolution measurements converted to gradians
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

  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