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Angle Converter — Degrees, Radians, Gradians, Turns, Arcmin & Arcsec

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Calculated result

0.017453 rad

Conversion factor: 1 ° = 0.01745329 rad

Exact circle relationship: 360° = 2π rad = 400 grad = 1 turn; 1° = 60 arcmin = 3,600 arcsec.

Same value in every supported unit

Radian

0.017453 rad

Milliradian

17.453293 mrad

Degree

1 °

Gradian / gon

1.111111 grad

Turn / revolution

0.002778 turn

Arcminute

60 arcmin

Arcsecond

3,600 arcsec

Show the working
  1. 1. Convert 1 ° to the rad base: 1 × 0.01745329 = 0.01745329 rad.
  2. 2. Convert from rad to rad: 0.01745329 ÷ 1 = 0.017453 rad.
  3. 3. Direct factor check: 1 × 0.01745329 = 0.017453 rad.

This converts angular units only. Degrees-minutes-seconds coordinate notation and bearing/quadrant formats are separate representation tasks.

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