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Angle Converter

Convert between angle units

118,800 ″

rate:1 ° = 3600 ″

Results in all units

33 °
Unit Symbol Value
Common
Degrees°33
Radiansrad0.575959
Gradiansgrad36.666667
Arcminutes′1,980
Arcseconds″118,800
Turnsturn0.091667
Quadrantsquad0.366667
Mils (NATO)mil586.666667

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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°.