Angle unit converter
Convert angle units — degrees, radians, gradians, turns, arcminutes, arcseconds, milliradians and both NATO and Soviet mils — with 1° = π/180 rad.
Runs in your browserEvery computation happens in your browser — your data never leaves this device.
Result
The source to target line first, then every common unit.
Enter an angle to convert
Units: 0
What this tool does
- Convert degrees and radians for graphics code and maths homework.
- Handle artillery and surveying mils: NATO uses 1/6400 turn, the Soviet system 1/6000 — mixing them errs by more than 6%.
- Turn arcminutes and arcseconds into degrees when reading maps and astronomical data.
Example
Input
1
Output
度 (°) → 弧度 (rad)：1 ° = 0.017453 rad 度 (°) = 1 ° 弧度 (rad) = 0.017453 rad 百分度 (grad) = 1.111111 grad 圈（转） (turn) = 0.002778 turn 角分 (′) = 60 ′ 角秒 (″) = 3600 ″ 毫弧度 (mrad) = 17.453293 mrad 密位（北约） (mil(NATO)) = 17.777778 mil(NATO) 密位（苏制） (mil(SU)) = 16.666667 mil(SU)
1° = π/180 rad ≈ 0.017453 rad and 1 rad ≈ 57.29578°; both mil systems (6400 and 6000) are listed.
Frequently asked questions
Is degree to radian exact?
Yes: 1° = π/180 rad and 1 rad = 180/π degrees. π is irrational, so the page prints 6 decimals (0.017453 and 57.29578); compute with Math.PI for more.
How far apart are the two mil systems?
NATO uses 1/6400 turn (≈ 0.05625°) and the Soviet system 1/6000 turn (≈ 0.06°) — about 6.7% apart for the same angle.
Are gradians the same as percentages?
No. A gradian divides a right angle into 100 parts, so a turn is 400 gradians; a percentage describes slope or ratio.
Can angles be converted to time?
In astronomy 1 hour of right ascension equals 15°, but that is a coordinate convention this tool does not cover.
Keywords：角度换算angle converter度转弧度弧度转度密位百分度角分角秒mrad