How to Convert Angles
Enter the angle value you want to convert in the Value field.
Select the unit you are converting from in the From dropdown.
Select the unit you want to convert to in the To dropdown.
Click Convert to see the result.
Understanding Angle Measurements
Angle measurements are fundamental in mathematics, engineering, and navigation. Different fields often use different units depending on their specific needs. For example, in astronomy, angles are often measured in arcminutes and arcseconds for precision, while in computer graphics, radians are commonly used for calculations. Understanding how these units relate to each other helps in accurate conversions and applications across disciplines.
When to Use This Angle Converter
- Converting between different angular units for engineering or architectural drawings
- Calculating precise angles for surveying or construction projects
- Converting angles for use in trigonometric functions in math or physics problems
- Working with military or navigation applications that use mils or other specialized units
- Double checking angle measurements when switching between different software or systems
Angle Converter Tool Advantages and Limitations
Key Features
14 Angle Units
Supports degrees, radians, gradians, gon, arcminutes, arcseconds, turns, revolutions, circles, quadrants, right angles, sextants, signs, and angular mils.
Exact Calculation Base
Uses precise base multipliers relative to the degree. Results show full precision without trailing zeros, switching to scientific notation automatically for very large or small values.
Private Browser Processing
All conversions run entirely in your browser. No internet connection is needed after the page loads.
Privacy & Security
This tool runs entirely in your browser. No values are transmitted to any server, stored, or logged. Safe to use offline or with sensitive data.
Frequently Asked Questions
How accurate are the conversions?
Each unit is stored as its exact value relative to one degree. The formula is: result = value × (from unit in degrees) ÷ (to unit in degrees). Results are shown to 10 significant figures before trailing zeros are removed.
What is the difference between grad and gon?
They are the same unit. A gradian and a gon both equal 1/400 of a full circle (0.9 degrees). Both names are in common use, particularly in surveying and continental European engineering.
What is the difference between revolution, circle, and turn?
They are all equivalent names for one full rotation (360 degrees). Turn is the most common modern term; revolution and circle are used in older texts and specific engineering contexts.
What is an angular mil?
An angular mil is a unit used in military applications. One mil equals 1/6400 of a full circle, or approximately 0.05625 degrees. It is used for measuring small angles at distance, such as in artillery aiming.
How do I convert degrees to radians?
Multiply degrees by π/180 (approximately 0.01745329). For example, 90 degrees = 90 × π/180 = π/2 ≈ 1.5707963 radians. Select Degree and Radian in this tool to convert directly.