Angle Converter
Converting angle units can be a challenging task for many people, especially when dealing with different measurement systems. This angle unit converter provides a quick and easy way to convert between various angle measurement units, including degrees, radians, gradians, arcminutes, arcseconds, revolutions, and mils.
Table of Contents
Angle Types
It is important to understand that different measurement systems use different units to measure angles. Degrees, for example, are commonly used in the United States and Europe, while radians are used in mathematics and physics. Gradians, arcminutes, arcseconds, revolutions, and mils are also used in specific fields. By using this converter, you can easily switch between these units to ensure your calculations are accurate.
Formulas
Here are the formulas used for each unit conversion:
- Degrees to radians: radians = (degrees * π) / 180
- Radians to degrees: degrees = (radians * 180) / π
- Degrees to gradians: gradians = (degrees * 400) / 360
- Gradians to degrees: degrees = (gradians * 360) / 400
- Degrees to arcminutes: arcminutes = (degrees * 60)
- Arcminutes to degrees: degrees = (arcminutes / 60)
- Degrees to arcseconds: arcseconds = (degrees * 3600)
- Arcseconds to degrees: degrees = (arcseconds / 3600)
- Degrees to revolutions: revolutions = (degrees / 360)
- Revolutions to degrees: degrees = (revolutions * 360)
- Degrees to mils: mils = (degrees * 17.777778)
- Mils to degrees: degrees = (mils / 17.777778)
Examples
- Convert 45 degrees to radians: (45 * π) / 180 = 0.7854 radians
- Convert 2 radians to degrees: (2 * 180) / π = 114.59155902616465 degrees
- Convert 30 gradians to degrees: (30 * 360) / 400 = 27 degrees
- Convert 120 arcminutes to degrees: 120 / 60 = 2 degrees
- Convert 3600 arcseconds to degrees: 3600 / 3600 = 1 degree
- Convert 1.5 revolutions to degrees: 1.5 * 360 = 540 degrees
- Convert 1000 mils to degrees: 1000 / 17.777778 = 56.549295857988165 degrees
Note: π is a mathematical constant with an approximate value of 3.14159.
By using this angle unit converter, you can easily convert between different angular measurement units. Whether you're working with degrees, radians, gradians, arcminutes, arcseconds, revolutions, or mils, this converter helps ensure your calculations are accurate. Make sure to double-check your results and review the formulas used before making any decisions based on the data provided by this calculator.
Frequently Asked Questions
How do you convert an angle from degrees to radians?
Multiply the value in degrees by π and divide by 180. Formula: radians = (degrees × π) / 180.
What is the formula to convert radians to degrees?
Multiply the value in radians by 180 and divide by π. Formula: degrees = (radians × 180) / π.
How do you convert degrees to gradians?
Multiply degrees by 400 and divide by 360. Formula: gradians = (degrees × 400) / 360.
How many arcminutes are in one degree?
One degree is equal to 60 arcminutes.
How many arcseconds are in one degree?
One degree contains 3600 arcseconds.
How do you convert arcseconds to degrees?
Divide the arcseconds by 3600. Formula: degrees = arcseconds / 3600.
How many degrees are in a full revolution?
A full revolution is equal to 360 degrees.
How do you convert degrees to revolutions?
Divide the degrees by 360. Formula: revolutions = degrees / 360.
What is a mil (miliarcminute) and how is it converted to degrees?
It’s an angular unit used in military contexts. To convert mils to degrees, divide by 17.777778. Formula: degrees = mils / 17.777778.
What is the difference between sexagesimal and centesimal degrees?
Sexagesimal degrees divide a circle into 360 parts, while centesimal degrees divide it into 400. They are used in different contexts such as mathematics or surveying.