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Angle Converter

Perform quick & accurate conversions and calculations

Square inchs calculate

What is an angle conversion calculator?

An angle conversion calculator allows you to convert angles between different units of measurement, such as degrees (°), radians (rad), gradians (gon), or even milradians (mils). These units are often used in various fields like mathematics, physics, engineering, and navigation.

Why do we need to convert angles?

Different fields use different angle units depending on the context:
  • Degrees: Commonly used in everyday situations and geometry.
  • Radians: Used in higher mathematics and trigonometry.
  • Gradians: Often used in surveying and engineering. Converting angles between units allows for consistency in calculations and ensures that mathematical formulas and real-world measurements work properly.

Angle unit conversion table

This table shows the Equivalent metric and imperial angle measurements
Convert from Radian Milliradian Degree Minute of Arc Second of Arc Gradian Revolution Circle Mil
1 radian = 1 rad 1,000 mrad 57.29578° 3,438 arcmin 206,265 arcsec 63.661977g 0.159155 r 0.159155 cir 1,019 mil
1 Milliradian = 0.001 rad 1 mrad 0.057296° 3.437747 arcmin 206.264806 arcsec 0.063662g 0.000159 r 0.000159 cir 1.018592 mil
1 Degree = 0.017453 rad 17.453293 mrad 1° 60 arcmin 3,600 arcsec 1.111111g 0.002778 r 0.002778 cir 17.777778 mil
1 minute of arc = 0.000291 rad 0.290888 mrad 0.016667° 1 arcmin 60 arcsec 0.018519g 0.000046296 r 0.000046296 cir 0.296296 mil
1 second of arc = 0.0000048481 rad 0.004848 mrad 0.000278° 0.016667 arcmin 1 arcsec 0.000309g 0.0000007716 r 0.0000007716 cir 0.004938 mil
1 gradian = 0.015708 rad 15.707963 mrad 0.9° 54 arcmin 3,240 arcsec 1g 0.0025 r 0.0025 cir 16 mil
1 revolution = 6.283185 rad 6,283 mrad 360° 21,600 arcmin 1,296,000 arcsec 400g 1 r 1 cir 6,400 mil
1 Circle = 6.283185 rad 6,283 mrad 360° 21,600 arcmin 1,296,000 arcsec 400g 1 r 1 cir 6,400 mil
1 mil = 0.000982 rad 0.981748 mrad 0.05625° 3.375 arcmin 202.5 arcsec 0.0625g 0.000156 r 0.000156 cir 1 mil
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