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Gradian

Conversions to other units

1 grad | 1 gon
| 0.9° (degrees)
| 15.71 mrad (milliradians)
| π/200 radians

Conversions from other units

1 gon | 1 grad
1° | 1.111 grads
1 mrad | 0.06366 grads
1 rad | 63.66 grads

Physical quantities

plane angle

bearing

Unit system

French

Unit status

officially deprecated
(NIST Special Publication 1038, Sec. 4.3.3)

Basic unit dimensions

[angle]

Corresponding quantities for 1 grad

Arc length s along the Earth's equator from s = Rθ:
| 54.1 nmi (nautical miles)
| 62.25 miles
| 100.2 km (kilometers)
| 100188 meters

Arc length s around the Earth at 45° latitude from s = Rcos(45°)θ:
| 38.25 nmi (nautical miles)
| 44.02 miles
| 70.84 km (kilometers)
| 70843 meters

Rotation count N from N = φ/(2π):
| 0.0025 rot (rotations)

Slope percentage from [slope percentage] = 100% × tan(θ):
| 1.571 slope% (slope percent)

Electric loss factor d from δ = tan^(-1)(d):
| 0.01571

Quality factor Q from δd = tan^(-1)(1/Q):
| 63.66

Comparisons for 1 grad as plane angle

≈ angular width of the little finger held at arm's length ( ≈ 1° )

≈ 1.7 × angular diameter of the sun viewed from Earth ( 31.45 to 32.53' )

≈ 1.7 × angular diameter of the moon viewed from Earth ( 29.33 to 34.1' )

Comparison for 1 grad as angular resolving power

≈ 50 × angular resolving power of the human eye ( ≈ 1' )

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