Tool to convert angles unit. Geometric angles can be described using different units (degrees, radian, degrees minutes and seconds, etc.)

Convert Angle Units - dCode

Tag(s) : Geometry

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!

A suggestion ? a feedback ? a bug ? an idea ? *Write to dCode*!

The measure of an angle (or an angular sector) is a number (real and positive number) that can be displayed in several units: generally the radian or the degree.

A full turn is $ 2 \pi $ radians or $ 360 $ degrees.

Conversion of degrees to radians uses the angular formula:

$$ \mbox{ Rad} = \mbox{ Deg} * \pi / 180 $$

To remember it, keep in mind that the Radians measure a circle over $ 2 \pi $ while the Degrees measure a circle over $ 360 ° $. The relationship between the two angles is $ \frac{2\pi}{360}=\frac{\pi}{180} $.

__Example:__ $$ 90° \times \pi / 180 = \frac{\pi}{2} \mbox{ Rad} $$

Conversion of degrees to gradians uses the formula:

$$ Grad = Deg / 360 * 400 $$

__Example:__ $$ 90° / 360 \times 400 = 100 \mbox{ Grad} $$

Conversion of degrees to arc seconds (used for GPS geolocalization):

__Example:__ 1′ (arcminute) = 1°/60 = 0.0166°

__Example:__ 1″ (arcsecond) = 1°/3600 = 0.000277°

Conversion of radians to degrees uses the formula:

$$ Deg = Rad \times 180 / \pi $$

__Example:__ $$ \frac{\pi}{2} \times \frac{180}{\pi} = 90° $$

Conversion of gradians to degrees uses the formula:

$$ Deg = Grad / 400 * 360 $$

dCode retains ownership of the "Convert Angle Units" source code. Except explicit open source licence (indicated Creative Commons / free), the "Convert Angle Units" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Convert Angle Units" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "Convert Angle Units" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!

Reminder : dCode is free to use.

The copy-paste of the page "Convert Angle Units" or any of its results, is allowed as long as you cite dCode!

Cite as source (bibliography):

*Convert Angle Units* on dCode.fr [online website], retrieved on 2022-10-05,

angle,convert,converting,angular,degree,radian,minute,second,arc

https://www.dcode.fr/convert-angle-unit

© 2022 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaching / CTF.

Feedback