Angle Converter – Convert Degrees, Radians, Gradians | CalculatorKits
Angle Converter

📐 Angle Converter

DegreesRadiansGradians MinutesSecondsRevolutions 15+ Units

Convert between any angle units instantly. No registration, no data stored.

Instant Results
🔒Privacy First
📴Works Offline
Free Forever No Data Stored No Registration 15+ Units
Live Preview
1 57.2958
57.2958 °
1 rad = 57.2958°

How Angle Conversion Works

All angle conversions use the radian [rad] as the base unit:

Result = (Input × From Factor) ÷ To Factor

Example: 1 rad × 1 = 1 rad = 57.2958°

Actual Calculation

Input 1 rad
×
Factor 57.2958
=
Result 57.2958°
1 × 57.2958 = 57.2958°
Convert Angle ● Live
Tab
57.2958 °
1 rad = 57.2958°
1 rad = 57.2958°
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Why Trust This Converter?

Uses official SI constants No rounding until final display Runs entirely in your browser No data uploaded or stored Updated: July 2026 Supports 15+ angle units

Conversion Formula

Radian Degree
° = rad × 57.2958
Example: 1 × 57.2958 = 57.2958°

Accuracy & Standards

Uses official SI constants
No approximation – exact conversions
IEEE 754 floating-point calculations
Supports 15+ decimal precision
Verified for accuracy
ISO 80000-2 compliant

Unit Relationship Diagram

1 r
2π rad
360°
400 grad
Each step shows the relationship between angle units

Angle Unit Comparison

UnitSymbolEquals (in rad)Used In
Radianrad1🔬 Mathematics
Degree°0.0174533🌍 Everyday
Gradiangrad0.015708⚙️ Engineering
Minute'0.000290888🗺️ Navigation
Second"0.000004848🗺️ Navigation
Revolutionr6.283185⚙️ Engineering
Quadrantq1.570796📐 Geometry

My Presets

Add current conversion as preset

How We Calculated

1 Input: 1 rad
×
2 Conversion Factor: 1 rad = 57.2958°
=
Result: 1 rad = 57.2958°

Try These Conversions

Quick Conversion Table

Select units and click a value above

Learn About Angle Units

📐
Radian
rad
SI UnitWorldwide
🔬 Trigonometry⚙️ Engineering📚 Mathematics
📐
Degree
°
CommonWorldwide
🌤️ Weather🗺️ Navigation📐 Geometry
📐
Gradian
grad
MetricEurope
⚙️ Engineering📐 Surveying🔬 Science
📐
Minute
'
ImperialWorldwide
🗺️ Navigation🔭 Astronomy📍 GPS
📐
Second
"
ImperialWorldwide
🗺️ Navigation🔭 Astronomy📍 GPS
📐
Revolution
r
CommonWorldwide
⚙️ Engineering🔄 Rotation🏗️ Construction

Recent Conversions

No recent conversions

Real-World Angle Examples

📐
Right Angle
90°=π/2 rad
Perpendicular lines
📐
Straight Angle
180°=π rad
Straight line
📐
Full Circle
360°=2π rad
Complete rotation
🗺️
Navigation Bearing
45°=NE
Compass direction
⚙️
Gear Rotation
2 r=720°
Two full turns
🔭
Astronomical Angle
1'=0.0167°
Arcminute
57.2958 °

How This Converter Works

This angle converter uses the radian [rad] as the base unit for all conversions.

Step 1: Convert input value to radians using the "From" unit factor

Step 2: Convert radians to the "To" unit using the target unit factor

Real Examples

📐 1 rad to Degrees
Input: 1 rad
57.2958°
Standard conversion
📐 180° to Radians
Input: 180°
3.14159 rad
Everyday use case
📐 1 r to Degrees
Input: 1 revolution
360°
Engineering use

Limitations

  • • This tool is for informational purposes only
  • • Results should not be used for legal or certified measurements
  • • Always verify critical calculations with official sources

Trust & Privacy

Last Updated: July 2026 Reviewed: July 2026 No data stored Chrome, Edge, Firefox, Safari Calculations performed locally No account required

All calculations are performed locally in your browser. No personal information is stored or shared.

References

  1. BIPM SI Brochure – International System of Units
  2. NIST Special Publication 811 – Guide to SI Units
  3. ISO 80000-2 – Quantities and Units, Mathematics

References were selected from recognized standards organizations and are reviewed periodically for accuracy.

Editorial Process

The CalculatorKits editorial team reviews this tool periodically.

  • Conversion formula accuracy
  • Unit definitions and standards
  • User guidance and clarity
  • Educational content

Last reviewed: July 2026

Frequently Asked Questions

How do I use the Angle Converter?

Enter a value, select the "From" and "To" units, and the result appears instantly.

What angle units are supported?

We support radians, degrees, gradians, minutes, seconds, revolutions, quadrants, and more.

Is this Angle Converter accurate?

Yes, it uses standard SI conversion factors and is accurate for all supported units.

How many radians is 180°?

180° = π radians (approximately 3.14159 rad). This is a common conversion for angle measurements.

Does the tool save my conversions?

Yes, your recent conversions are saved locally in your browser.

📍 Angle Converter — For educational and informational use only


Angle Converter

Angles are used everywhere, from basic geometry and trigonometry to engineering, navigation, and astronomy. However, converting between degrees, radians, gradians, or turns manually can be confusing, especially when working with formulas or scientific data. An Angle Converter makes this process simple and accurate.

This online tool allows you to convert angle units instantly without memorizing formulas. It works directly in your browser and delivers reliable results for students, professionals, and everyday users. With just a few clicks, angle unit conversion becomes quick and stress-free.


What Is an Angle Converter?

An Angle Converter is an online tool that converts numerical values between different angle measurement units. It supports commonly used units such as degrees (°), radians (rad), gradians (grad), revolutions (turns), minutes, seconds, quadrants, sextants, and other mathematical or historical angle units.

The tool solves a common problem: different disciplines use different angle units. Mathematics often relies on radians, navigation uses degrees and minutes, while engineering may use gradians. Instead of manual calculations, the converter applies standardized mathematical relationships to produce instant and accurate results.

Angle measurement is a fundamental concept in mathematics and geometry. To understand how angles are defined and measured, you can explore the topic on the Wikipedia page on angle.


Why Use This Angle Converter?

Manual angle conversion often requires remembering exact constants such as π and multiple conversion ratios. This increases the risk of mistakes, especially in exams, technical work, or real-world calculations.

Using an online Angle Converter offers clear benefits:

  • Speed: Instant conversion without formulas
  • Accuracy: Uses standard mathematical constants
  • Convenience: Works on any device with a browser
  • Consistency: Eliminates manual calculation errors

This browser-based tool is especially useful when paired with a Length Converter or a Speed Converter in geometry, physics, and motion-related tasks.


How to Use the Angle Converter

The Angle Converter is designed to be simple and intuitive.

  1. Enter the angle value you want to convert
  2. Select the original angle unit from the “From Unit” dropdown
  3. Choose the target angle unit from the “To Unit” dropdown
  4. Click the Convert button
  5. View the converted angle instantly

You can reset the inputs at any time to start a new conversion. All calculations are processed in real time within your browser.


Key Features

  • Supports mathematical, navigational, and scientific angle units
  • Accurate conversions using standard formulas
  • Fully browser-based with no installation
  • Clean and easy-to-use interface
  • Works on desktop, tablet, and mobile devices

Who Can Use This Tool?

The Angle Converter is useful for a wide range of users:

  • Students studying geometry and trigonometry
  • Teachers explaining angle concepts
  • Engineers working with mechanical or structural angles
  • Surveyors and navigators using directional angles
  • Researchers handling mathematical calculations
  • Everyday users converting angle values

Anyone dealing with angle measurements can benefit from this tool.


Angle Conversion Formulas and Common Measurements

Angle conversion is based on fixed mathematical relationships. Below are some commonly used angle conversions:

  • 1 full circle = 360 degrees
  • 1 full circle = 2π radians
  • 1 radian ≈ 57.2958 degrees
  • 1 gradian = 0.9 degrees
  • 1 turn = 360 degrees
  • 1 degree = 60 minutes = 3600 seconds

Example Formula:
To convert degrees to radians:
Radians = Degrees × π ÷ 180

The Angle Converter applies these formulas automatically, ensuring precise and consistent results every time.


Safety, Privacy, and Accuracy

User trust is an important part of this tool.

  • All calculations are processed in your browser
  • No personal data is collected or stored
  • No files are uploaded
  • No signup or login is required

The conversion results are based on standard mathematical definitions. This tool is intended for informational and educational use and should not replace certified surveying or engineering instruments.


Frequently Asked Questions

Is the Angle Converter free to use?
Yes, the tool is completely free and requires no registration.

Which angle units are supported?
It supports degrees, radians, gradians, turns, minutes, seconds, quadrants, and more.

Can I use this tool on mobile devices?
Yes, the Angle Converter works on mobile, tablet, and desktop browsers.

Does the tool store my data?
No, all angle conversions are processed locally and not stored.

Is this suitable for professional use?
Yes, it is suitable for most academic and professional calculations, but not for certified surveying work.


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Pros and Cons

Pros

  • Fast and accurate angle conversions
  • Simple and user-friendly interface
  • Supports a wide range of angle units

Cons

  • Requires an internet connection
  • Not intended for certified or regulatory measurements

Conclusion

The Angle Converter is a reliable and easy-to-use tool for converting angle units quickly and accurately. It removes the complexity of manual calculations and provides instant results across devices. Whether you are studying mathematics, working on engineering problems, or handling navigation data, this tool helps you convert angles with clarity and confidence.

Use it whenever accuracy, simplicity, and speed matter.

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