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Angle Conversion Calculator

Angle units conversion can be a challenging task for many individuals, especially when working with different systems of measurement. This angle units converter provides a quick and easy way to convert between different units of angle measurement, including degrees, radians, gradians, minutes of arc, seconds of arc, revolutions, and mils.

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It's important to understand that different systems of measurement use different units for measuring angles. Degrees, for example, are commonly used in the United States and Europe, while radians are used in mathematics and physics. Gradians, minutes of arc, seconds of arc, revolutions, and mils are also used in specific fields. By using this converter, you can easily convert between these units to ensure that 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 minutes of arc: minutes of arc = (degrees * 60)
  • Minutes of arc to degrees: degrees = (minutes of arc / 60)
  • Degrees to seconds of arc: seconds of arc = (degrees * 3600)
  • Seconds of arc to degrees: degrees = (seconds of arc / 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 minutes of arc to degrees: 120 / 60 = 2 degrees
  • Convert 3600 seconds of arc 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 a value of approximately 3.14159.

By using this angle units converter, you can easily convert between different units of angle measurement. Whether you're working with degrees, radians, gradians, minutes of arc, seconds of arc, revolutions, or mils, this converter makes it simple to ensure that your calculations are accurate. Be sure to double-check your results and check the formulas used before making any decision based on the data provided by this calculator.

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