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Unit converters · Common

Angle converter

Convert between degrees, radians, gradians, and other angle units.

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From
To
Result
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How it works

Two steps, no account

1

Pick your units

From degrees and radians to less common units like gons and sextants.

2

Enter a value

The result updates instantly as you type, or as soon as you change either unit.

FAQ

Common questions

Is my data sent anywhere?
No. The conversion runs entirely in your browser — nothing is transmitted, logged, or stored.
What's the difference between a gradian and a degree?
A full circle is 360 degrees but 400 gradians (also called "gon") — gradians divide a right angle into 100 equal parts instead of 90, which some surveying and engineering fields still use.
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Angle Converter

Our Angle Converter provides instant conversion between multiple angle units used in mathematics, engineering, navigation, and scientific applications. Convert between degrees, radians, and specialized angle measurements with precision.

How to Use the Angle Converter

1. Enter Your Value

  • Type your angle value in the "From" input field
  • Select the source unit from the dropdown list
  • The conversion happens automatically in real-time

2. Choose Conversion Units

  • Select your desired output unit from the "To" dropdown
  • Choose from 14 different angle units
  • Switch between common and specialized angle measurements

3. View and Copy Results

  • See the conversion result instantly displayed
  • Results show both the numerical value and unit names
  • Use the "Copy to Clipboard" button to save the result
  • Results are formatted for easy sharing and documentation

Supported Angle Units

Common Units

  • Degree (°) - The standard 360° in a circle
  • Radian (rad) - The SI unit of angle measurement
  • Grad/Gradian (^g) - 400 gradians in a circle
  • Minute (') - 1/60 of a degree
  • Second (") - 1/60 of a minute

Specialized Units

  • Gon - Alternative name for gradian
  • Sign - 30° or 1/12 of a circle
  • Mil - Military angle unit (6400 mils in a circle)
  • Revolution (r) - Complete 360° rotation
  • Circle - Complete 360° rotation
  • Turn - Complete 360° rotation
  • Quadrant - 90° or 1/4 of a circle
  • Right Angle - 90° angle
  • Sextant - 60° or 1/6 of a circle

Use Cases

1. Mathematics and Education

  • Convert between degrees and radians for trigonometry
  • Teach angle measurement concepts
  • Solve geometry problems
  • Verify calculations in different units

2. Engineering and Design

  • Convert angles for CAD drawings
  • Translate between different measurement systems
  • Calculate precise rotations for mechanical systems
  • Convert surveying measurements

3. Navigation and Geography

  • Convert between navigation units
  • Translate compass bearings
  • Calculate astronomical angles
  • Convert map coordinates

4. Programming and Development

  • Convert angles for graphics programming
  • Translate between user interface units
  • Calculate rotations for animations
  • Convert between different API measurement systems

Technical Features

  • High-precision conversion algorithms
  • Support for scientific notation
  • Real-time calculation
  • Mobile-responsive interface
  • Dark mode design for reduced eye strain
  • Copy functionality with confirmation
  • Fallback methods for older browsers

Conversion Accuracy

Our converter uses the following precise conversion factors:

  • 1 radian = 57.2957795131° (180/π)
  • 1 gradian = 0.9°
  • 1 minute = 1/60°
  • 1 second = 1/3600°
  • 1 mil = 0.05625° (1/6400 of a circle)

All conversions are calculated with high precision to ensure accuracy for both everyday use and scientific applications.

Tips for Working with Angle Units

  1. Degrees, Minutes, Seconds (DMS)

    • Used in navigation and geography
    • Written as 45° 30' 15" (45 degrees, 30 minutes, 15 seconds)
    • 1 minute = 1/60 of a degree
    • 1 second = 1/60 of a minute

  2. Radians

    • Used in calculus and advanced mathematics
    • A full circle is 2π radians
    • π radians = 180 degrees
    • Preferred in scientific calculations

  3. Gradians/Gons

    • Used in surveying and some European countries
    • 400 gradians in a full circle
    • 100 gradians in a right angle
    • Simplifies decimal calculations

Remember: When working with trigonometric functions in programming or scientific calculators, be aware of whether the function expects angles in degrees or radians. Most mathematical functions use radians by default.