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Angle Converter

Convert between degrees, radians, gradians, turns, arcminutes, and arcseconds.

Angle converter

Updates as you type
Try a preset
From
Value ?  
°
090180270360
Unit
Common
Sub-degree
Other
To
Result  
rad
Unit
Common
Sub-degree
Other

Formula

rad = deg × π 180
deg → rad
rad = deg × π ⁄ 180
rad → deg
deg = rad × 180 ⁄ π
deg → grad
grad = deg × 10 ⁄ 9
deg → turn
turn = deg ⁄ 360
deg → arcmin
arcmin = deg × 60
deg → arcsec
arcsec = deg × 3600
Worked example — your numbers
  1. Input:
  2. Convert to degrees (base):
  3. Apply target factor:
  4. Result:

All six units share a single base: degrees. Each conversion is a multiplication by a fixed factor, so there's no rounding drift between adjacent conversions. The only exception is π itself — irrational, so radian values are stored as 64-bit floats but displayed in their π-fraction form when they land on a clean multiple of π ⁄ 12.