Angle Converter

Welcome to the Angle Converter! This tool allows you to convert between common angle units: Degrees (°), Radians (rad), Grads (gon), Arcminutes (′), Arcseconds (″), Milliarcseconds (mas), and Microarcseconds (µas).

Key Features:

• Live Updates: Conversions update in real-time.
• User-Friendly: Clean and intuitive interface.
• Accurate Calculations: Based on standard conversion factors.
• Two-Way Conversion: Enter a value in any unit.

Understanding Angle Units:

This converter uses the Degree (°) as its base reference. Here’s a brief overview of the units:

• Degree (°): A common unit for measuring angles. A full circle is 360 degrees.
  1 full circle = 360°
• Radian (rad): The SI unit for angles. A full circle is \(2\pi\) radians.
  \(\displaystyle rad = \frac{\pi}{180} \times degree \)
• Grad (gon): Less common in practice, but 1 full circle = 400 grads.
  \(\displaystyle grad = \frac{400}{360} \times degree = \frac{10}{9} \times degree \)
• Arcminute (′): 1 arcminute = 1/60 of a degree.
  \(\displaystyle arcminute = degree \times 60 \)
• Arcsecond (″): 1 arcsecond = 1/3600 of a degree.
  \(\displaystyle arcsecond = degree \times 3600 \)
• Milliarcsecond (mas): 1 mas = 1/1000 of an arcsecond = 1/3,600,000 of a degree.
  \(\displaystyle mas = degree \times 3{,}600{,}000 \)
• Microarcsecond (µas): 1 µas = 1/1000 of a milliarcsecond = 1/3,600,000,000 of a degree.
  \(\displaystyle \mu as = degree \times 3{,}600{,}000{,}000 \)

How to Use:

• Enter a value into any of the input fields.
• The other fields will update instantly.
• The result cards will also display the converted values.

References:

• Degree (Wikipedia)
• Radian (Wikipedia)
• Grad (Wikipedia)
• Arcminute (Wikipedia)
• Arcsecond (Wikipedia)
• Milli- and microarcseconds