Gradian (gon) (grad)
Exactly 1/400 of a full turn.
What is a gradian?
- Symbol
- grad
- Quantity
- Angle
- Unit system
- other
- Definition
- Exactly 1/400 of a full turn.
- Exact
- Yes, the value is exact by definition
- Source
- NIST Special Publication 811 (2008), Appendix B.8
Common applications
Used in some surveying and civil engineering work. A right angle is exactly 100 gradians.
Gradian (gon) in other angle units
- 1 grad ≈ 0.01570796327 radRadian
- 1 grad ≈ 15.70796327 mradMilliradian
- 1 grad = 0.9 °Gradian (gon) to Degree converter
- 1 grad = 54 ′Arcminute
- 1 grad = 3240 ″Arcsecond
- 1 grad = 0.0025 revTurn (revolution)
Gradian (gon) quick reference
| Gradian (gon) | Degree | Radian | Milliradian |
|---|---|---|---|
| 1 grad | = 0.9 ° | ≈ 0.01570796327 rad | ≈ 15.70796327 mrad |
| 10 grad | = 9 ° | ≈ 0.1570796327 rad | ≈ 157.0796327 mrad |
| 100 grad | = 90 ° | ≈ 1.570796327 rad | ≈ 1570.796327 mrad |
| 1000 grad | = 900 ° | ≈ 15.70796327 rad | ≈ 15707.96327 mrad |
Where the gradian fits
The next smaller angle unit is the milliradian (mrad). 1 grad ≈ 15.70796327 mrad, and 1 mrad ≈ 0.06366197724 grad.
The next larger angle unit is the degree (°). 1 grad = 0.9 °, and 1 ° ≈ 1.111111111 grad.
Frequently asked questions
- How many degrees are in one gradian?
- One gradian = 0.9 ° (degrees).
- How many radians are in one gradian?
- One gradian ≈ 0.01570796327 rad (radians).
- How many milliradians are in one gradian?
- One gradian ≈ 15.70796327 mrad (milliradians).