Angle Converter

Instantly convert angles between degrees, radians, gradians, arcminutes, arcseconds, turns, milliradians, and NATO mils.

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Angle Converter

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Use a comma or period as the decimal separator; do not use thousands separators.

Radian

Microradian (µrad)
17,453.2925

1 µrad = 10^-6 rad

Milliradian (mrad)
17.4532925

1 mrad = 10^-3 rad; not the same as NATO mil

Radian (rad)
0.0174532925

1 turn = 2π rad

Degrees and arc units

Degree (°)
Input
1

1° = 1/360 turn

Arcminute ()
60

1′ = 1/60°

Arcsecond ()
3,600

1″ = 1/60′ = 1/3600°

Milliarcsecond (mas)
3,600,000

1 mas = 0.001″

Gon

Gon (gon)
1.11111111

1 gon = 1/400 turn; also called gradian

Centigon (cgon)
111.111111

1 cgon = 0.01 gon

Turn

Turn (turn)
0.00277777778

1 turn = 360° = 2π rad

Quadrant (quadrant)
0.0111111111

1 quadrant = 90°; no separate right-angle unit

Sextant Angle (sextant)
0.0166666667

1 sextant angle = 60°

Navigation and computer

NATO Mil (mil (NATO))
17.7777778

1 NATO mil = 1/6400 turn; not the same as a milliradian

Binary Degree (brad)
0.711111111

1 binary degree = 1/256 turn

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