Angle Converter: Convert Between Degrees, Radians, Gradians, and More

Introduction

Angles are fundamental in mathematics, engineering, navigation, and construction. Our angle converter handles degrees, radians, gradians, and arc units.

Conversion Formulas and Factors

The radian is the SI unit for angle:

1 full circle = 360� = 2p rad = 400 grad 1� = p/180 rad � 0.0174533 rad 1 rad = 180�/p � 57.29578� 1 grad = 0.9� = p/200 rad 1 arcminute (') = 1/60 of a degree 1 arcsecond (?) = 1/60 of an arcminute Degrees to Radians: rad = deg � p/180 Radians to Degrees: deg = rad � 180/p

How to Use the Converter

Our angle converter supports all common units. For example, 180 degrees = p rad (�3.14159 rad).

Real-World Examples

Mathematics: A right angle is 90� = p/2 radians. Navigation: A bearing of 270� (west) = 3p/2 rad. Surveying: 5 gradians = 4.5 degrees.

Common Applications

• Mathematics and Physics: Calculus uses radians exclusively
• Navigation: Bearings measured in degrees
• Astronomy: Arcminutes and arcseconds for celestial measurements
• Surveying: Gradians simplify right-angle calculations
• Computer Graphics: Angles in 3D rendering use radians

Tips for Accurate Conversions

1. 1. Always use radians for calculus � formulas simplify significantly
2. 2. Navigation bearings are measured clockwise from north
3. 3. Ensure your calculator is in the correct mode (DEG/RAD/GRAD)

Conclusion

Angle conversions are essential in mathematics, navigation, surveying, and astronomy. Our angle converter provides instant conversions. For more tools, see the complete guide to unit converters.