Radians to Degrees conversion
Convert radians to degrees. Exact: π rad = 180°. Free online tool — no sign-up. Clear formulas and worked examples. Runs locally in your browser.
Enter values to convert.
Formulas
Core equations used by this converter.
How to use
Choose rad → ° or ° → rad
Use the tabs to switch direction. Forward mode needs rad; reverse uses the opposite unit.
Enter the value
Type a non-negative value in the active unit field.
Convert and read the result
Use Convert or let the result update automatically.
Example conversions
Common values with formula and result.
Example 1: π/6 rad → degrees
Example 1: π/6 rad → degrees
Example 2: 2 rad → degrees
Example 2: 2 rad → degrees
Example 3: π/2 rad → degrees
Example 3: π/2 rad → degrees
Example 4: 1 rad → degrees
Example 4: 1 rad → degrees
Radians to Degrees conversion specification
Version 1.1.0 · Engine tested
- Engine tested 4 published cases
- Named expert review Not performed
- Calculation version 1.1.0
- Definition
- **Radian (rad)** — SI plane-angle unit; one full turn = **2π** rad. **Degree (°)** — one full turn = **360°**.
- What it calculates
- Value between rad and °. Switch direction with the converter tabs.
- Inputs
- RAD (rad) or reverse unit (°)
- Outputs
- Converted value in ° or rad
- Formula
° = rad × 57.29578 · 1 rad = 57.29578 °- Radians to degrees conversion table
Radians (exact) Radians (approx.) Degrees 0 0 0° π/6 0.523599 30° π/4 0.785398 45° π/3 1.047198 60° π/2 1.570796 90° 2π/3 2.094395 120° 3π/4 2.356194 135° 5π/6 2.617994 150° π 3.141593 180° 3π/2 4.712389 270° 2π 6.283185 360° - Assumptions
- Conversion runs locally in the browser; values are not uploaded.
- Uses the standard factor/definition for these units.
- Units
- rad → °
- ° → rad
- Boundary conditions
- Empty or non-numeric input yields no valid result.
- Non-negative values are expected for physical quantities.
- Example
- 1.5708 rad → 90 °
- Validation cases
- 1.5708 rad → 90 °
- 15.708 rad → 900 °
- 78.5398 rad → 4500 °
- 157.08 rad → 9000 °
- Sources
- SI / international unit definitions where applicable
- CalculatorX conversion factors (local runtime)
- Calculation version
- 1.1.0
Background
Interpretation and common distinctions.
Use the converter tabs to switch direction when available. Results for Radians to Degrees conversion update locally in your browser.
Related tools
Frequently asked questions
Key distinctions behind the conversion.
How do you convert using Radians to Degrees conversion?
Use degrees = radians × 180 / π. Example: Example 1: π/6 rad → degrees → 30°.
Can I switch direction?
Use the converter tabs when available, or open the related reverse tool from Related.
Does this run online or locally?
Calculation runs locally in your browser. Values are not uploaded.
How precise are the results?
Results follow the formulas on this page. Round to the precision your use case needs.