Angle converter

This angle converter features 14 different angle units, enabling any conversion between different internationally used angle units. All entered values are converted in real time and displayed with up to 20 decimal places, ensuring sufficient accuracy.

Two Steps to Your Result

Our angle converter offers several input fields, each displaying the current unit symbol (for example, rad, °, or gon). To change a unit, simply click on the unit symbol and select your preferred measurement from the dropdown menu.

Once you have selected the desired units in the angle converter, simply enter the value you want to convert. You can input numbers into any of the available fields. As soon as you enter a value in one field, all other fields will automatically update and display the converted results. Both the entered value and the calculated results are automatically rounded to the predefined number of decimal places.

At the bottom of the angle converter, you will find two green buttons. The button on the right resets the converter to its default state. This restores all units, values, and decimal settings to their original configuration. The button on the left clears the current inputs by setting all values to zero, while keeping your selected units and decimal settings unchanged.

Conversion table for angle units

Angle specifications are always a combination of a value and the corresponding unit. A conversion table can be used to determine the value of the known angle in another unit. For example: How many radians [rad] are in 1 degree [°]?. In most cases, a conversion table is used to determine the conversion factor or calculation method for converting one unit of angle into another. However, conversion tables are often very confusing and difficult for inexperienced users to understand.

The following tool provides a solution to this problem, allowing conversion factors and calculation methods to be queried directly from the conversion table. The conversion table covers a total of 14 internationally common angle units.

Converting angle units in everyday life

There are many angle units that are rarely used in everyday life. These include, for example, mils and centigons [cgon]. Therefore, it is not necessary to know all conversion values or calculation methods by heart. However, there are angle units that are used very frequently in everyday life. Examples include degrees [°], right angles [⊾], and radians [rad]. For these angle units, it can be very helpful to know the calculation method or conversion value by heart.

Converting right angles and degrees

Converting between degrees [°] and right angles [⊾] is very simple, as a right angle [⊾] is exactly 90 degrees [°] This value serves as the conversion factor between the two units. The right angle [&#8894] multiplied by 90 gives the value in degrees [°]. If the value in degrees [°] is divided by 90, the result is the value as a right angle [⊾]. For example, if 36 degrees[°] are converted, the result is 36 ÷ 90 = 0.4 right angles [⊾].

• Degrees [°] = right angles [⊾] * 90
• Right angles [⊾] = degrees [°] ÷ 90

Convert degrees to radians

A complete circle has 2π radians [rad], which corresponds to 360 degrees [°]. To convert degrees [°] to radians [rad], simply multiply the value in degrees [°] by π and divided by 180. Radians [rad] are converted to degrees [°] in the opposite way, by multiplying the value in radians [rad] by 180 and dividing by π.

• Degrees [°] = radians [rad] * 180 ÷ π
• Radians [rad] = degrees [°] * π ÷ 180

Convert radians and milliradians

The prefix "milli" comes from the decimal system and is based on a power of ten with a value of 10^-3, which corresponds to 0.001. One radian [rad] is therefore a thousand times larger than one milliradian [mrad], which is also the conversion factor. The value in radians [rad] multiplied by 1,000 gives the value in milliradians [mrad]. Dividing the value in milliradians [mrad] by 1,000 gives the value in radians [rad].

• Milliradian [mrad] = radian [rad] * 1,000
• Radiant [rad] = milliradian [mrad] ÷ 1,000

Converting angular minutes and degrees

The value of 1 degree [°] corresponds to 60 angular minutes [ ′ ], which is also the conversion factor. The value in degrees [°] multiplied by 60 gives the value in angular minutes [ ′ ]. If the value in angular minutes [ ′ ] is divided by 60, the result is the value in degrees [°].

• Angular minutes [ ′ ] = degrees [°] * 60
• Degrees [°] = angular minutes [ ′ ] ÷ 60

Converting angular seconds and degrees

60 angular seconds [″] equal 1 angular minute[ ′ ] . 60 angular minutes [ ′ ] equals 1 degree [°]. The conversion factor between degrees [°] and angular seconds [″] is therefore 60 * 60 = 3,600. The value in degrees[°] multiplied by 3,600 gives the value in angular seconds [″]. Dividing the value in angular seconds [″] by 3,600 gives the value in degrees [°].

• Angular seconds [″] = degrees[°] * 3,600
• Degrees [°] = angular seconds [″] ÷ 3,600