Angle Converter - Convert Units Online
Convert between Degrees, Radians, Gradians, Arcminutes, Arcseconds & Turns. Fast, accurate, 100% free unit converter.
Convert Value
🔒 Local Processing📍 Popular Conversion Pairs
📊 Complete Equivalent Units Table (1 Degree (°))
| Unit Name | Equivalent Value |
|---|---|
| Degree (°) | 1 |
| Radian (rad) | 0.017453 |
| Gradian (grad) | 1.111111 |
| Arcminute (′) | 59.99988 |
| Arcsecond (″) | 3,599.99712 |
| Turn (revolution) | 0.002778 |
How to Use This Calculator
- Enter the numerical value you wish to convert in the input box.
- Select your starting measurement unit from the "From Unit" dropdown.
- Choose the desired output unit from the "To Unit" dropdown.
- Use the "⇄" swap button to instantly reverse conversion direction.
- Review the full equivalent units table below for all measurement comparisons.
Formula & Mathematical Method
Unit conversions use standard NIST international proportionality factors relative to standard SI base measurement units.
Value_Target = (Value_Source × Factor_Source) / Factor_TargetExplanation of Variables
| Symbol | Variable Name | Description & Role in Calculation |
|---|---|---|
| Value_Source | Input Quantity | The numerical amount of the original measurement. |
| Factor_Source | Source Unit Factor | Conversion ratio of starting unit to base unit. |
| Factor_Target | Target Unit Factor | Conversion ratio of target unit to base unit. |
| Value_Target | Converted Result | Final computed magnitude in selected target units. |
Worked Calculation Examples
Standard Angle Conversion
Scenario: Converting 1 unit from Degree (°) to Radian (rad).
Reciprocal Conversion
Scenario: Reversing the conversion direction using the swap button.
Interpretation of Results
This converter computes exact equivalent quantities by multiplying your input value against certified conversion coefficients defined relative to Degree (°). The equivalent value represents the identical physical magnitude expressed in the target measurement system.
Converted Result
The exact numerical equivalent of your input in the selected target unit.
Key Context: Review the full units matrix table to see the same measurement simultaneously translated into multiple scales.
Standard Base Unit
The international scientific reference standard (Degree (°)) used as the computational intermediary.
Key Context: Two-step conversion (From → Base → To) ensures zero cumulative rounding error between arbitrary unit pairs.
Practical Use Cases
Engineering & Technical Specifications
Translate between metric (SI) and imperial measurement standards on technical blueprints, CAD models, and architectural drawings.
Scientific Laboratory Analysis
Standardize raw experimental measurements into SI units for academic reports, peer-reviewed research, and peer validation.
International Trade & Travel
Convert product specifications, freight weights, speed limits, and cooking recipes between regional standards.
Limitations & Key Assumptions
- Conversion coefficients adhere to legal metrological standards; values beyond 6 decimal places may experience standard binary floating-point representation limits.
- Certain nonlinear temperature scales (such as Celsius and Fahrenheit) utilize additive zero-point offsets in addition to multiplicative ratios.