Search for a tool
Convert Angle Units

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

Results

Convert Angle Units -

Tag(s) : Geometry

Share dCode and more

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!

Please, check our dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!

Thanks to your feedback and relevant comments, dCode has developed the best 'Convert Angle Units' tool, so feel free to write! Thank you!

# Convert Angle Units

## Answers to Questions (FAQ)

### What is an angle unit? (Definition)

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.

### How to convert degrees to radian

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

### How to convert degrees to gradians

Conversion of degrees to gradians uses the formula:

$$Grad = Deg / 360 * 400$$

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

### How to convert degrees to arc seconds

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

Example: 1′ (arcminute) = 1°/60 = 0.0166°

Example: 1″ (arcsecond) = 1°/3600 = 0.000277°

### How to convert radian to degrees

Conversion of radians to degrees uses the formula:

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

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

### How to convert gradians to degrees

Conversion of gradians to degrees uses the formula:

$$Deg = Grad / 400 * 360$$

## Source code

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.

## Cite dCode

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

## Need Help ?

Please, check our dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!

## Questions / Comments

Thanks to your feedback and relevant comments, dCode has developed the best 'Convert Angle Units' tool, so feel free to write! Thank you!

https://www.dcode.fr/convert-angle-unit
© 2022 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaching / CTF.

Feedback