Angle Converter
Instantly convert between degrees, radians, gradians, and more.
Common Angle Reference
Degrees | Radians | Turns |
---|---|---|
30° | π/6 | 1/12 |
45° | π/4 | 1/8 |
60° | π/3 | 1/6 |
90° | π/2 | 1/4 |
180° | π | 1/2 |
270° | 3π/2 | 3/4 |
360° | 2π | 1 |
Why Choose Our Angle Converter?
Instant Real-Time Conversion
Get immediate results as you type or change units. All conversions and visualizations update instantly for a seamless experience.
Live Angle Visualization
Don't just convert—see it. Our interactive protractor visualizes your angle in real-time, helping you understand the geometry.
Comprehensive Angle Units
Convert seamlessly between all major angle units, including degrees, radians, gradians, turns, arcminutes, and arcseconds.
All-in-One Results Grid
Enter a value once and see it instantly converted into all available units in a clean, easy-to-read grid format.
Quick Reference Chart
A handy reference table for common angles (like 30°, 45°, 90°) provides quick conversions between degrees, radians, and turns.
Clean & Intuitive Design
Enjoy a modern, user-friendly interface that makes converting angles simple, fast, and visually engaging on any device.
Angle Converter Tool – Convert Degrees, Radians, Gradians, and More Instantly
Angles are everywhere around us—whether in mathematics, engineering, navigation, or even daily life activities. But what happens when you need to convert an angle from degrees to radians, or radians to gradians, or even arcminutes and arcseconds? That’s where an Angle Converter Tool comes in handy.
In this guide, we’ll dive into what angle conversion is, why it matters, the different units of angles, conversion formulas, and of course, how to use our free online Angle Converter Tool for fast and accurate results.
What is an Angle Converter?
An Angle Converter is an online tool that helps you convert one angle unit into another instantly. For example, you can enter 90° (degrees) and instantly get its equivalent in radians, gradians, or turns.
It’s designed to save you time, reduce errors, and make mathematical calculations much easier.
Think of it like a translator for angles—just like Google Translate converts one language to another, an angle converter translates between different measurement units of angles.
Why Do You Need an Angle Converter?
Angles are a core concept in many fields, and converting them manually can be tricky. You might need an Angle Converter if you are:
📐 A student solving trigonometry problems.
🧮 An engineer working on structural designs.
🛰️ A scientist calculating orbital paths in astronomy.
🚗 A navigator working with GPS and mapping systems.
🕹️ A game developer using radians in coding and animation.
With an angle converter, you save time, avoid mistakes, and focus on the actual problem instead of messy calculations.
Common Units of Angle Measurement
Let’s break down the most common units used for measuring angles:
1. Degrees (°)
The most familiar unit of angle measurement.
A full circle = 360°.
Common in daily life (geometry, navigation, maps).
2. Radians (rad)
The SI unit of angular measurement.
A full circle = 2π radians ≈ 6.283 rad.
Mostly used in mathematics, physics, and computer programming.
3. Gradians (gon or grad)
A less common unit where a right angle = 100 gradians.
A full circle = 400 gradians.
Often used in surveying and civil engineering.
4. Turns (or Revolutions)
Measures a complete rotation.
One full circle = 1 turn = 360° = 2π radians.
5. Arcminutes and Arcseconds
Common in astronomy and navigation.
1 degree = 60 arcminutes (′).
1 arcminute = 60 arcseconds (″).
Angle Conversion Formulas
Here are the essential formulas for converting between angle units:
Degrees → Radians: radians = degrees × (π / 180)
Radians → Degrees: degrees = radians × (180 / π)
Degrees → Gradians: gradians = degrees × (10 / 9)
Gradians → Degrees: degrees = gradians × (9 / 10)
Degrees → Turns: turns = degrees / 360
Turns → Degrees: degrees = turns × 360
Example:
Convert 180° to radians:
180 × (π/180) = π rad (≈ 3.1416 rad)
How to Use Our Angle Converter Tool
Using the TryToolsBox Angle Converter Tool is super simple:
Enter the value of your angle (e.g., 90).
Choose the unit you want to convert from (degrees, radians, etc.).
Instantly see the converted results in all major angle units.
👉 No manual math, no confusion—just quick and accurate results.
Real-Life Applications of Angle Conversion
You might be wondering—where do I actually need this? Let’s look at some real-world uses:
📏 Engineering → Converting angles in design blueprints.
🚀 Physics & Astronomy → Measuring planetary orbits in radians.
🧭 Navigation → Using degrees and minutes for GPS coordinates.
🎮 Computer Graphics → Animations often require radians instead of degrees.
🏗️ Surveying & Mapping → Gradians are commonly used in land surveying.
Benefits of Using an Online Angle Converter
Instead of doing manual calculations, our Angle Converter Tool offers:
✅ Instant results in multiple units.
✅ Error-free conversions.
✅ User-friendly interface.
✅ Supports all major units.
✅ Completely free to use.
Angle Conversion Table (Quick Reference)
Unit | Equivalent to 1 Degree |
---|---|
Radian | 0.0174533 rad |
Gradian | 1.1111 grad |
Turn | 0.00277778 turn |
Arcminute | 60′ |
Arcsecond | 3600″ |
Pro Tips for Remembering Conversions
π radians = 180° (memorize this key fact).
A right angle = 90° = π/2 radians.
A straight line = 180° = π radians.
A full circle = 360° = 2π radians.
If you remember these, you can derive most other conversions easily.
Why Our Tool is Better Than Manual Calculation
While you can use formulas, our Angle Converter Tool eliminates:
❌ Mistakes in decimal calculations.
❌ Repeated manual conversions.
❌ Time wasted on checking math.
Instead, you get instant accurate conversions, so you can focus on solving bigger problems.
Future of Angle Conversion in Technology
As technology grows, angles are becoming even more important in fields like:
Robotics (precise movement depends on radians).
Artificial Intelligence (computer vision uses angular measurements).
Space Exploration (navigating satellites and spacecraft).
Having a reliable Angle Converter Tool will only get more important in the future.
Conclusion
Angles may look simple, but they form the backbone of mathematics, science, navigation, and technology. With so many different units (degrees, radians, gradians, turns, arcminutes, arcseconds), having an Angle Converter Tool makes life easier.
Whether you’re a student, engineer, scientist, or developer, this tool ensures you get fast, accurate, and stress-free angle conversions anytime.
FAQs
1. What is the SI unit of angle?
The SI unit of angle is the radian (rad).
2. How many degrees are in 1 radian?
1 radian ≈ 57.2958°.
3. Why do engineers use radians instead of degrees?
Radians make calculations in trigonometry and calculus easier since they’re based on the circle’s arc length.
4. How many gradians are in a full circle?
A full circle has 400 gradians.
5. Is your Angle Converter Tool free to use?
Yes ✅ It’s 100% free, fast, and accessible online anytime.
Meet the Author

Anam Ahsan
Anam Ahsan, SEO expert & web strategist, helps users access powerful online tools to boost productivity, accuracy, and digital growth.
Anam Ahsan is the founder of TryToolsBox.com, a platform dedicated to providing free, reliable, and easy-to-use online tools that help individuals, writers, students, and professionals enhance their productivity and accuracy.