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    Converters/Angle Converter

    Angle Converter

    Convert between degrees, radians, gradians, minutes of arc, seconds of arc, and turns.

    Unit Converters
    Converter

    Converter

    Ready to Convert

    Enter a value and click Convert to see all conversions.

    Popular Conversions

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    Area Converter
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    Back to all converters

    What is Angle Converter?

    The Angle Converter is a free online tool that helps you convert values between different units of angle. Convert between degrees, radians, gradians, minutes of arc, seconds of arc, and turns. This tool provides instant, accurate results with support for all major unit conversions in this category.

    How the Conversion Works

    All angle units convert through radians. Degrees: rad = ° × π/180. Gradians: rad = grad × π/200. Minutes of arc: rad = ' × π/10800. Turns: 1 turn = 2π radians.

    How to Use This Converter

    Using the Angle Converter is simple: 1. Enter the numeric value you want to convert in the input field 2. Select the unit you are converting from using the first dropdown (available units: Degree (°), Radian (rad), Gradian (grad), Minute of Arc ('), Second of Arc ("), and 1 more) 3. Select the unit you are converting to using the second dropdown 4. Click "Convert" to see the result instantly 5. Use the "Swap" button to quickly reverse the conversion direction 6. View the "All Conversions" table to see the value in every available unit

    Example Conversions

    Here are some common conversions you can perform with this tool: 1 ° → ? rad, 1 rad → ? °, 1 ° → ? ' Try clicking any of the "Popular Conversions" buttons above to instantly set up these conversions. For example, you can quickly convert between metric and imperial units, which is especially useful when working with international measurements or specifications.

    Benefits and Use Cases

    Essential for trigonometry, navigation, surveying, robotics, and game development. Used by mathematicians, engineers, surveyors, and game developers.

    Common Mistakes to Avoid

    Avoid these common pitfalls when using the Angle Converter: - Confusing degrees with radians (they are very different — 360° = 2π rad) - Assuming gradians are the same as degrees - Forgetting to convert between decimal degrees and DMS (degrees, minutes, seconds) - Mixing up minutes of arc with time minutes Being aware of these issues will help you get accurate conversions every time.

    Related Tools

    Length Converter
    Area Converter
    Frequency Converter

    Conclusion

    The Angle Converter is a free, accurate tool that handles all standard unit conversions instantly. Whether you are working on a project, studying, shopping internationally, or just curious, this converter ensures you get precise results every time. For other conversions, try our Length Converter and Area Converter. Try it now with your own values above.

    Frequently Asked Questions

    How many radians are in a degree?

    1 degree equals π/180 radians, approximately 0.0174533 radians.

    What is a gradian?

    A gradian divides a right angle into 100 parts, so a full circle is 400 gradians. It is used in some engineering and surveying applications.

    How many degrees are in a full circle?

    There are 360 degrees in a full circle. This dates back to the ancient Babylonians who used a base-60 number system.

    What are minutes and seconds of arc used for?

    Minutes of arc (') and seconds of arc (") are used in navigation, astronomy, and surveying. 1 degree = 60 arcminutes = 3600 arcseconds.

    How do I convert radians to degrees?

    Multiply radians by 180/π to get degrees. For example, π radians = 180°, and 1 radian ≈ 57.2958°.

    What is a turn in angle measurement?

    A turn (or full rotation) equals 360°, 2π radians, or 400 gradians. It represents a complete circular rotation.

    How many gradians are in a right angle?

    A right angle equals 100 gradians. Since a full circle is 400 gradians, each quadrant is exactly 100 gradians.