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Degree

Conversions to other units

1° | 17.45 mrad (milliradians)
| π/180 radians
| 1.111 grads
(unit officially deprecated)
| 0.01111 quad (quadrants)

Conversions from other units

1 mrad | 0.0573°
1 rad | 57.3°
1 grad | 0.9°
1 quad | 90°

Physical quantities

plane angle

bearing

Unit systems

non-SI but accepted for use with SI | recognized for use in astronomy

Basic unit dimensions

[angle]

Corresponding quantities for 1°

Arc length s along the Earth's equator from s = Rθ:
| 60.11 nmi (nautical miles)
| 69.17 miles
| 111.3 km (kilometers)
| 111319 meters

Arc length s around the Earth at 45° latitude from s = Rcos(45°)θ:
| 42.5 nmi (nautical miles)
| 48.91 miles
| 78.71 km (kilometers)
| 78715 meters

Rotation count N from N = φ/(2π):
| 0.0028 rot (rotations)

Slope percentage from [slope percentage] = 100% × tan(θ):
| 1.746 slope% (slope percent)

Electric loss factor d from δ = tan^(-1)(d):
| 0.01746

Quality factor Q from δd = tan^(-1)(1/Q):
| 57.29

Comparisons for 1° as plane angle

≈ 0.25 × angle at which the Leaning Tower of Pisa leans ( ≈ 3.99° )

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

≈ 1.9 × angular diameter of the sun viewed from Earth ( 31.45 to 32.53' )

Comparison for 1° as angular resolving power

≈ 60 × angular resolving power of the human eye ( ≈ 1' )

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