Convert Circles to Gradians

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

SWAP UNITS
Results in Gradians:
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1 cir = 400g
Do you want to convert gradians to circles?

How to Convert Circles to Gradians

Protractors are often used to measure angle

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

gradians = circles × 400

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

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

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

Circles

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.

Gradians

A gradian is equal to 1/400 of a revolution or circle, or 9/10°. 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.

Circle Measurements and Equivalent Gradian Conversions

Common circle values converted to the equivalent gradian value
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

More Circle Angle Conversions

Convert to Radians
1 cir is equal to 6.283185 radians
Convert to Milliradians
1 cir is equal to 6,283.19 milliradians
Convert to Degrees
1 cir is equal to 360 degrees
Convert to Minutes Of Arc
1 cir is equal to 21,600 minutes of arc
Convert to Seconds Of Arc
1 cir is equal to 1,296,000 seconds of arc
Convert to Revolutions
1 cir is equal to 1 revolutions
Convert to Mils (NATO)
1 cir is equal to 6,400 mils (NATO)