JR Trove
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Angle Converter

Convert between 7 angle units — degree, radian, gradian (gon), turn, arc minute, arc second, NATO mil. Math, astronomy, surveying, military.

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Degree
Radian
All conversions
°
1
Degree
rad
0.01745
Radian
gon
1.11111
Gradian
turn
0.002778
Turn (full circle)
60
Arc minute
3600.00
Arc second
mil
17.7778
Mil (NATO)
360° = 2π rad = 400 gon = 1 full turn. Right angle: 90° = π/2 rad = 100 gon. Astronomy uses arcsec for small angles (1 light-second of arc at 1 light-year = ~0.31 arcsec).
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Inside the tool

What powers the Angle Converter

7 angle units

360° = 2π rad = 400 gon = 1 turn

Arc minute / arc second for astronomy

NATO mil for military / artillery

All units shown simultaneously

Built differently

Why the Angle Converter is different

Browser-native

The Angle Converter runs entirely in your browser. Input is processed locally — never uploaded, never logged, never cached anywhere outside your device.

No artificial limits

No daily quotas, no character ceilings, no "upgrade for more" walls. Every feature is the complete feature — the same on the first use as the thousandth.

Production-grade quality

Built to the same engineering bar as paid SaaS tools — accurate algorithms, audited logic, responsive design and accessibility-tested interactions.

Use Contexts

Common use contexts

  • Math / physics homework (degree ↔ radian)
  • Astronomy (arc seconds for star separation)
  • Surveying (degrees, gradians for European maps)
  • Military / ballistics (mils for elevation/azimuth)
Privacy by design

Private and secure

Zero upload

All processing happens in your browser. Input is never transmitted, logged or cached.

Works offline

Once the page loads, the tool runs without an internet connection. No network calls happen during use.

No tracking

No accounts, no cookies for tool state. Only aggregate analytics count visits at the page level.

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FAQ

Angle Converter questions

A radian is the angle subtended by an arc of length equal to the radius. 2π radians fits exactly in a full circle by definition. Used in calculus because trig derivatives are clean (d/dx sin x = cos x only when x is in radians).