gradian
Angleexact by definition
The gradian, also called the gon or grade, is exactly 1/400 of a full turn, so a right angle is exactly 100 gon. In radians that is , an exact definition whose decimal value must be rounded. It is not an SI unit.
Watch out: The abbreviation "grad" is easily confused with "gradient" and with the calculator label GRA, which is the source of most accidental use. A calculator left in GRA mode gives sin(100) = 1 instead of the expected degree answer.
| 1 | 0.9 |
The gradian comes from the French Revolution's programme of decimalising everything, which produced a circle of 400 parts alongside the decimal calendar and decimal time. Unlike those, it partly survived: it is still used in surveying in France and some neighbouring countries, and most surveying calculators offer a GON mode.
One gradian in every angle unit
| 3,240,000,000 | microarcsecond (μas) | |
| 3,240,000 | milliarcsecond (mas) | |
| 15,708 | microradian (μrad) | |
| 3,240 | arcsecond (″) | |
| 54 | arcminute (′) | |
| 16 | mil (NATO) (mil) | |
| 15.708 | milliradian (mrad) | |
| 1 | gradian (gon)this unit | |
| 0.9 | degree (°) | convert → |
| 0.08 | compass point (point) | |
| 0.06 | hour angle (h) | |
| 0.015708 | radian (rad) | convert → |
| 0.01 | quadrant (quad) | |
| 0.0025 | revolution (rev) |