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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 quantity 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' )