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Angle Converter – 7 units of angle

Convert angle between °, rad, gon, ′ and more – exact and instant.

1 ° = 0.01745329252 rad

Formula: rad = ° × 0.01745329252

Common values
Decimals
In every unit 7 units
Degree (°) 1 °
Radian (rad) 0.01745329252 rad
Gradian (gon) 1.111111111 gon
Arcminute (′) 60 ′
Arcsecond (″) 3,600 ″
Turn (tr) 0.002777777778 tr
NATO mil (mil) 17.77777778 mil

Convert on our server?

If you continue, the file is uploaded over an encrypted connection and converted on our server. You can keep using the site meanwhile. The original is deleted as soon as it is converted; the result is kept for 6 hours so you can download it, and you can delete it at any time. Files are never shared or used for anything else.

Calculated in your browser – nothing you type is sent anywhere. Privacy details

Units of angle

Degree (°)unit1 ° = 0.01745329252 rad
Radian (rad)SI (metric) unit
Gradian (gon)unit1 gon = 0.01570796327 rad
Arcminute (′)unit1 ′ = 0.0002908882087 rad
Arcsecond (″)unit1 ″ = 0.000004848136811 rad
Turn (tr)unit1 tr = 6.283185307 rad
NATO mil (mil)unit1 mil = 0.0009817477042 rad

How to use: Angle Converter

  1. 1 Pick the unit you have and the unit you need.
  2. 2 Type the value – the result in the other unit appears at once (type in the result field to convert back).
  3. 3 Use a common value, set the decimals or swap the units with one click.
  4. 4 Open “In every unit” to see the value in all 7 units of angle.

About this tool

Angles are measured in degrees, radians (in mathematics and programming), gradians (in surveying), arcminutes and arcseconds.

Here every value is converted through the radian (rad). Choose any two of the 7 units below the converter, or start from one of the popular conversions.

Calculated in your browser – nothing you type is sent anywhere.

Frequently asked questions

Which units of angle can I convert?

Degree (°), Radian (rad), Gradian (gon), Arcminute (′), Arcsecond (″), Turn (tr) and NATO mil (mil).

Which angle conversions are used most?

1 ° = 0.01745329252 rad; 1 ° = 1.111111111 gon; 1 ′ = 0.01666666667 °.

How exact is the converter?

Each unit is defined by its official value in rad, so conversions are exact up to the 10 significant digits shown; you can round to 0–6 decimals.

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