Angle Conversion Calculator

Convert angles between degrees, radians, gradians, mils, and other units

Angle Conversion

Enter the angle value to convert

Conversion Result

Enter an angle value and select units, then click "Convert Angle" to see the conversion result with detailed calculations.

Quick Examples

When to Use Angle Conversion Calculator

Mathematics Education

Convert between degrees and radians for trigonometry problems, calculus exercises, and geometry calculations in academic settings.

Engineering Applications

Convert angles for mechanical design, structural analysis, robotics programming, and CAD software that use different angular units.

Military & Navigation

Convert between mils and degrees for artillery calculations, surveying work, and navigation systems that use military angular units.

Programming & Graphics

Convert angles for computer graphics, game development, animation software, and programming languages that use different angular systems.

Scientific Research

Convert angular measurements for physics experiments, astronomy calculations, and scientific instruments that use various angular units.

Construction & Surveying

Convert angles for construction projects, land surveying, architectural drawings, and civil engineering that require precise angular measurements.

Frequently Asked Questions

What is an angle conversion calculator?

An angle conversion calculator is a tool that converts angle measurements between different units such as degrees, radians, gradians, mils, and other angular units. It provides instant conversions with accurate formulas and detailed explanations.

How do you convert degrees to radians?

To convert degrees to radians, multiply the degree value by π/180 (approximately 0.01745329). For example: 90° × π/180 = π/2 ≈ 1.5708 radians. This is because there are 2π radians in a full 360° circle.

What are gradians and how do they relate to degrees?

Gradians (also called gons) are an angular unit where a full circle equals 400 gradians instead of 360 degrees. To convert degrees to gradians, multiply by 400/360 (≈1.111). One degree equals approximately 1.111 gradians, making gradians useful for decimal calculations.

What are mils in angle measurement?

Mils are angular units commonly used in military and artillery applications. One full circle equals 6400 mils (NATO standard). To convert degrees to mils, multiply by 6400/360 (≈17.778). One degree equals approximately 17.778 mils, providing fine angular precision for targeting.

How accurate are the angle conversions?

Our calculator provides highly accurate conversions using precise mathematical formulas. Results are calculated to multiple decimal places using JavaScript's built-in mathematical functions, ensuring accuracy suitable for both educational and professional applications.

Can I convert between any angle units?

Yes, our calculator supports conversions between all major angle units including degrees, radians, gradians, mils, minutes, seconds, quadrants, octants, sextants, and revolutions. You can convert from any unit to any other unit with a single calculation.

Is this angle converter free to use?

Yes, our angle conversion calculator is completely free to use. There are no limits on conversions, no registration required, and all features including detailed formulas and explanations are available at no cost.

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