Angle Unit Conversion

Angle Unit Conversion Overview

The angle unit conversion tool is a convenient online calculator specifically designed for mutual conversions between various angle measurement units. It supports conversion calculations among seven commonly used angle units: full circle, degrees (°), minutes ('), seconds (") , radians (rad), milliradians (mrad), and gradians (gon).

This tool is particularly suitable for engineers, mathematics students, physics researchers, and any professional or student requiring precise angle conversions. It not only provides instant conversion results but also displays detailed calculation processes, helping users understand the conversion relationships between different units.

How to Use Angle Unit Conversion

1. Enter a value in the input box corresponding to the known unit (e.g., enter "90" in the "Degrees (°)" box).
2. Click the "Calculate" button next to that unit or press the "Enter" key on your keyboard.
3. All other unit input fields will automatically populate with the converted results.
4. The results section below will display the detailed conversion process.

Precision Control

Calculation results for different units retain appropriate significant digits:

• Full circle and radians display 8 decimal places.
• Degrees and gradians display 6 decimal places.
• Minutes display 4 decimal places.
• Seconds display 2 decimal places.
• Milliradians display 5 decimal places.

By examining the detailed calculation process in the results section, users can learn the conversion relationships among various angle units.

Unit Conversion Relationships

This tool performs calculations based on the following standard conversion relationships:

• 1 full circle = 360 degrees = 2π radians ≈ 6.2831853 radians
• 1 degree = 60 minutes = 3600 seconds
• 1 radian ≈ 57.29578 degrees
• 1 milliradian = 0.001 radian
• 1 gradian (gon) = 0.9 degrees

Using these fundamental relationships, the tool accurately converts between various units while maintaining calculation precision. The detailed calculation process shown in the results section demonstrates how these relationships are applied, aiding users in understanding and verifying the results.