Angle Converter

Convert between degrees, radians, gradians, and more angular units instantly

Enter Angle Value

Conversion Results

Degrees (°) 0
Radians (rad) 0
Gradians (gon) 0
Turns (rev) 0
Arcminutes (') 0
Arcseconds (") 0
Military Mils 0

Angle Conversion Formulas

Common Conversions

Degrees to Radians: rad = deg × π/180
Radians to Degrees: deg = rad × 180/π
Degrees to Gradians: gon = deg × 10/9
Degrees to Turns: turns = deg / 360

Unit Relationships

Full Circle: 360° = 2π rad = 400 gon = 1 turn
Right Angle: 90° = π/2 rad = 100 gon
Straight Angle: 180° = π rad = 200 gon
Military Mil: 1 mil = 360°/6400

When to Use Angle Converter

Mathematics Education

Students learning trigonometry, geometry, and calculus need to convert between degrees and radians for homework and exams.

Engineering Applications

Engineers working on mechanical designs, electrical circuits, and structural analysis require precise angle conversions for calculations.

Navigation & GPS

Maritime navigation, aviation, and GPS systems use different angular units for precise positioning and course calculations.

Programming & Graphics

Developers creating animations, games, and 3D graphics need to convert between degrees and radians for rotation calculations.

Scientific Research

Physicists and astronomers working with wave functions, orbital mechanics, and experimental data analysis use various angle units.

Surveying & Construction

Land surveyors and construction professionals use gradians and mils for precise angular measurements in mapping and building projects.

Frequently Asked Questions

What is an angle converter?

An angle converter is a tool that converts angular measurements between different units such as degrees, radians, gradians, and turns. It's essential for mathematics, engineering, and navigation applications where different angular units are used.

How do I convert degrees to radians?

To convert degrees to radians, multiply the degree value by π/180. For example: 90° × π/180 = π/2 radians ≈ 1.5708 radians. Our converter does this calculation automatically for you.

Is this angle converter free to use?

Yes, our angle converter is completely free to use with no registration required. You can perform unlimited conversions between all supported angular units without any restrictions.

What angle units are supported?

Our converter supports degrees, radians, gradians (gons), turns (revolutions), arcminutes, arcseconds, and military mils for comprehensive angle conversion needs across different fields and applications.

Why use radians instead of degrees?

Radians are preferred in advanced mathematics and engineering because they provide more natural calculations in calculus and trigonometry. One radian equals approximately 57.3 degrees and represents the angle that creates an arc equal to the radius.

How accurate are the conversions?

Our angle converter provides high-precision calculations with up to 10 decimal places, ensuring accuracy for both educational and professional applications. The calculations use standard mathematical formulas for precise results.

Can I use this tool for navigation and surveying?

Yes, the converter includes support for gradians and military mils commonly used in surveying, navigation, and military applications for precise angular measurements. These units are specifically designed for such professional applications.

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