Circles to Gradians Converter
Enter the angle in circles below to convert it to gradians.
Result in Gradians:
Do you want to convert gradians to circles?
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How to Convert Circles to Gradians
To convert a measurement in circles to a measurement in gradians, multiply the angle by the following conversion ratio: 400 gradians/circle.
Since one circle is equal to 400 gradians, you can use this simple formula to convert:
gradians = circles × 400
The angle in gradians is equal to the angle in circles multiplied by 400.
For example, here's how to convert 5 circles to gradians using the formula above.
gradians = (5 cir × 400) = 2,000g
How Many Gradians Are in a Circle?
There are 400 gradians in a circle, which is why we use this value in the formula above.
1 cir = 400g
Circles and gradians are both units used to measure angle. Keep reading to learn more about each unit of measure.
What Is a Circle?
A circle is the equivalent of 1 revolution around a circle, or 360°.
A circle is sometimes also referred to as a revolution. Circles can be abbreviated as cir; for example, 1 circle can be written as 1 cir.
A circle is more commonly used to describe a round, symmetrical shape with no corners or edges than it is to describe plane angle. The shape is described by its radius and circumference.
Learn more about circles.
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.
Circle to Gradian Conversion Table
| Circles | Gradians |
|---|---|
| 1 cir | 400g |
| 2 cir | 800g |
| 3 cir | 1,200g |
| 4 cir | 1,600g |
| 5 cir | 2,000g |
| 6 cir | 2,400g |
| 7 cir | 2,800g |
| 8 cir | 3,200g |
| 9 cir | 3,600g |
| 10 cir | 4,000g |
| 11 cir | 4,400g |
| 12 cir | 4,800g |
| 13 cir | 5,200g |
| 14 cir | 5,600g |
| 15 cir | 6,000g |
| 16 cir | 6,400g |
| 17 cir | 6,800g |
| 18 cir | 7,200g |
| 19 cir | 7,600g |
| 20 cir | 8,000g |
| 21 cir | 8,400g |
| 22 cir | 8,800g |
| 23 cir | 9,200g |
| 24 cir | 9,600g |
| 25 cir | 10,000g |
| 26 cir | 10,400g |
| 27 cir | 10,800g |
| 28 cir | 11,200g |
| 29 cir | 11,600g |
| 30 cir | 12,000g |
| 31 cir | 12,400g |
| 32 cir | 12,800g |
| 33 cir | 13,200g |
| 34 cir | 13,600g |
| 35 cir | 14,000g |
| 36 cir | 14,400g |
| 37 cir | 14,800g |
| 38 cir | 15,200g |
| 39 cir | 15,600g |
| 40 cir | 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