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Angle Converter

Convert between angle units

3.75 turn

rate:1 quad = 0.25 turn

Results in all units

15 quad
Unit Symbol Value
Common
Degrees°1,350
Radiansrad23.561945
Gradiansgrad1,500
Arcminutes′81,000
Arcseconds″4,860,000
Turnsturn3.75
Quadrantsquad15
Mils (NATO)mil24,000

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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°.