Angle Converter

Convert between angle units

Amount

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0.017453 rad

rate：1 ° = 0.01745329 rad

Decimals 6 Thousands separator Scientific notation

Results in all units

1 °

Unit	Symbol	Value
Common
Degrees	°	1
Radians	rad	0.017453
Gradians	grad	1.111111
Arcminutes	′	60
Arcseconds	″	3,600
Turns	turn	0.002778
Quadrants	quad	0.011111
Mils (NATO)	mil	17.777778

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33 Degrees → 118,800 Arcseconds 🎯 Angle 90 Degrees → 1 Quadrants 🎯 Angle 206 Arcseconds → 0.001 Radians 🎯 Angle 322 Mils (NATO) → 0.3161 Radians 🎯 Angle 97 Arcminutes → 0.018 Quadrants 🎯 Angle 45 Quadrants → 14,580,000 Arcseconds 🎯 Angle 131 Arcseconds → 0.0001 Turns 🎯 Angle 34 Arcminutes → 0.6296 Gradians 🎯 Angle 40 Radians → 8,250,592.2499 Arcseconds 🎯 Angle 15 Quadrants → 3.75 Turns 🎯 Angle

Common Scenarios

Angle conversion is central to surveying, astronomy, military applications, and computer graphics. Surveyors use degrees-minutes-seconds (DMS) to pinpoint directions. In radar and fire-control systems, mils are the best unit for calculating ballistics and ranging.

History & Background

Angle measurement originated from astronomical observation and calendar creation. Ancient Babylonians used a sexagesimal (base-60) system, dividing a circle into 360 degrees. In the 18th century, mathematicians like Euler introduced "radians".

Conversion Details

Angle conversion is based on degrees (°).

Common conversions: 180° = π rad ≈ 3.1416 rad, 1° = 60 arcmin = 3,600 arcsec, 1 turn = 360°.