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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 quantity

    plane angle

    bearing

    Unit system

    French

    Unit status

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

    Basic unit dimensions

    [angle]

    Corresponding quantity 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' )