Gradians to Circles Conversion
Enter the angle in gradians below to get the value converted to circles.
How to Convert Gradians to Circles
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:
The angle in circles is equal to the gradians divided by 400.
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.
| 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 formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.
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
| 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
- 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
