Angle Converter
Convert between angle units
14,580,000
″
rate:1 quad = 324000 ″
Results in all units
45 quad| Unit | Symbol | Value |
|---|---|---|
| Common | ||
| Degrees | ° | 4,050 |
| Radians | rad | 70.685835 |
| Gradians | grad | 4,500 |
| Arcminutes | ′ | 243,000 |
| Arcseconds | ″ | 14,580,000 |
| Turns | turn | 11.25 |
| Quadrants | quad | 45 |
| Mils (NATO) | mil | 72,000 |
Popular Angle Conversions
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Just Converted
33 Degrees
→
118,800 Arcseconds
90 Degrees
→
1 Quadrants
206 Arcseconds
→
0.001 Radians
322 Mils (NATO)
→
0.3161 Radians
97 Arcminutes
→
0.018 Quadrants
45 Quadrants
→
14,580,000 Arcseconds
131 Arcseconds
→
0.0001 Turns
34 Arcminutes
→
0.6296 Gradians
40 Radians
→
8,250,592.2499 Arcseconds
15 Quadrants
→
3.75 Turns
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°.