Angle Converter

Convert between angle units

Amount

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57.29578 °

rate：1 rad = 57.29577951 °

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Results in all units

1 rad

Unit	Symbol	Value
Common
Degrees	°	57.29578
Radians	rad	1
Gradians	grad	63.661977
Arcminutes	′	3,437.746771
Arcseconds	″	206,264.806247
Turns	turn	0.159155
Quadrants	quad	0.63662
Mils (NATO)	mil	1,018.591636

Popular Angle Conversions

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1 Radians → 57.29578 Degrees 🎯 Angle 1 Degrees → 0.017453 Radians 🎯 Angle 1 Millipascal-seconds → 0.001 Pascal-seconds 🛢️ Dynamic Viscosity 1 Pascal-seconds → 1,000 Millipascal-seconds 🛢️ Dynamic Viscosity

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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°.