Circles to Gradians Converter
Enter the angle in circles below to get the value converted to gradians.
Do you want to convert gradians to circles?
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:
The angle in gradians is equal to the angle in circles multiplied by 400.
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.
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
More Circle & Gradian Conversions
- circles to radians
- circles to milliradians
- circles to degrees
- circles to minutes of arc
- circles to seconds of arc
- circles to revolutions
- circles to mils
- radians to gradians
- milliradians to gradians
- degrees to gradians
- minutes of arc to gradians
- seconds of arc to gradians
- revolutions to gradians
- mils to gradians