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Angle Converter

Convert angles between degrees, radians, gradians (grads), and turns. Type in any field to update all others instantly.

Converter Tools Runs locally No data sent
degreesradiansgradiansturnsbrowser only
Angle
Degrees
°
Radians
rad
Gradians
grad
Turns
turn
Quick examples
Angle reference
Angle nameDegreesRadiansGradians
Right angle90°π/2 ≠1.5708100
Straight angle180°π ≠3.1416200
Full rotation360°2π ≠6.2832400
1 radian≠57.296°1≠63.662

What is an Angle Converter?

An angle converter translates a rotation measurement between different systems. Degrees (360 per circle) are the most familiar unit. Radians (2*pi per circle) are the standard in mathematics and most programming languages. Gradians divide a right angle into 100 equal parts (400 per circle) and are used in surveying. A turn represents one complete rotation.

How to Use Angle Converter

  1. Type an angle value into any field (degrees, radians, gradians, or turns).
  2. All other fields update instantly.
  3. Use quick example buttons for common reference angles.
  4. Click Clear to reset all fields.

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Degrees vs Radians ▾
Example
Input 90 degrees
Output 1.5708 rad / 100 grad / 0.25 turn
Common Use Cases
  • Programming: converting between degrees and radians for trigonometry
  • Surveying: working with gradian-based instruments
  • Mathematics and physics homework
  • CAD and 3D modeling angle conversions
Frequently Asked Questions
How many radians in 180 degrees?

180 degrees = pi radians (approximately 3.14159 rad).

What is a gradian?

A gradian (also called grad or gon) divides a right angle into 100 parts. 1 full circle = 400 gradians. Used in surveying.

How do I convert degrees to radians?

Multiply degrees by pi/180. Example: 90 degrees x (pi/180) = 1.5708 radians.

What is a turn?

1 turn = 1 full rotation = 360 degrees = 2*pi radians = 400 gradians.