Converters

Angle Converter

Convert angles between degrees, radians, turns and gradians.

Conversion factors explained belowNo live data needed
Conversion workspace
Conversion workspace

Check the quantity, source unit and destination unit.

See the method

Choose units and a value

Runs on your device

Your converted value

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this converter

  1. Enter value, from, to.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

Input reference and sample values

Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.

InputFormat and unitsSample
ValueNumeric value.1
FromChoose degree / radian / turn / gradian.degree
ToChoose degree / radian / turn / gradian.radian

Result for these sample inputs

0.0174532925 radian
Conversion factor
0.0174532925

Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.

The method, explained

Convert to the base unit, then divide by the target factor. One full turn is 360 degrees, 2π radians or 400 gradians.

A WORKED EXAMPLE

180 degrees = π radians = 0.5 turns.

What to keep in mind

Negative and multi-turn angles are preserved; the result is not normalized into a single rotation.

Common questions

Does it wrap 450 degrees to 90?

No. It preserves the full angle; 450 degrees equals 1.25 turns.

What is a radian?

An angle of one radian subtends an arc equal in length to the circle radius.

Methodology maintained by ClarityKit. How these tools are built and checked.