Convert Angle

Converting angle units can be a challenging task for many people, especially when working with different measurement systems. This angle unit converter offers a quick and easy way to convert between different angle measurement units, including degrees, radians, gradians, arcminutes, arcseconds, revolutions, and mils.

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 convert 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 angle measurement units. Whether you are working with degrees, radians, gradians, arcminutes, arcseconds, revolutions, or mils, this converter makes it easy to ensure your calculations are accurate. Be sure to double-check your results and review the formulas used before making any decisions based on the data provided by this calculator.