Gradians to Circles Conversion

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

SWAP UNITS
Results in Circles:
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1g = 0.0025 cir
Do you want to convert circles to gradians?

How to Convert Gradians to Circles

Protractors are often used to measure angle

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

circles = gradians ÷ 400

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

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

Gradians and circles 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.

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.

Gradian to Circle Conversion Table

Gradian measurements converted to circles
Gradians Circles
1g 0.0025 cir
2g 0.005 cir
3g 0.0075 cir
4g 0.01 cir
5g 0.0125 cir
6g 0.015 cir
7g 0.0175 cir
8g 0.02 cir
9g 0.0225 cir
10g 0.025 cir
20g 0.05 cir
30g 0.075 cir
40g 0.1 cir
50g 0.125 cir
60g 0.15 cir
70g 0.175 cir
80g 0.2 cir
90g 0.225 cir
100g 0.25 cir
200g 0.5 cir
300g 0.75 cir
400g 1 cir
500g 1.25 cir
600g 1.5 cir
700g 1.75 cir
800g 2 cir
900g 2.25 cir
1,000g 2.5 cir

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