Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

Angle Converter

Converting between angle units.

Angle Converter

Online angle units converter

Convert between angle units - degrees, radians, grades, minutes and more:

Converting between Degrees and Radians

Degrees are commonly used in "humans" language and radians are commonly used in computer languages. Since there is 360 degrees and 2 π radians in a circle

- degrees can be converted to radians with the equation

θ = 2 π Φ / 360                                         (1)


θ = radians

Φ = degrees

- and radians can be converted to degrees with the equation

Φ = 360 θ / (2 π)                                        (2)

Example - Converting between Degrees and Radians

90 degrees can be converted to radians with eq. (1) as

θ = 2 π (90) / 360

= 1.57 radians

1 radian can be converted to degrees with eq. (2) as

Φ = 360 (1) / (2 π)

= 57.3 degrees

Turns, Radians and Degrees

Turns vs. Radians vs. Degrees
0 0 0
1/24 π/12 15
1/12 π/6 30
1/8 π/4 45
1/(2 π) 1 57.3..
1/6 π/3 60
1/4 π/2 90
1/3 2π/3 120
1/2 π 180
3/4 3π/2 270
1 360

Related Topics

  • Basics

    Basic engineering data. SI-system, unit converters, physical constants, drawing scales and more.
  • Mathematics

    Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.

Related Documents


Search is the most efficient way to navigate the Engineering ToolBox.

Engineering ToolBox - SketchUp Extension - Online 3D modeling!

3D Engineering ToolBox Extension to SketchUp - add parametric components to your SketchUp model

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with older versions of the amazing SketchUp Make and the newer "up to date" SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp Make/Pro from the Extension Warehouse !

Translate this Page

Translate this page to Your Own Language .

About the Engineering ToolBox!

Privacy Policy

We don't collect information from our users. More about

We use a third-party to provide monetization technologies for our site. You can review their privacy and cookie policy here.

You can change your privacy settings by clicking the following button: .


This page can be cited as

  • The Engineering ToolBox (2003). Angle Converter. [online] Available at: [Accessed Day Month Year].

Modify the access date according your visit.

3D Engineering ToolBox - draw and model technical applications! 2D Engineering ToolBox - create and share online diagram drawing templates! Engineering ToolBox Apps - mobile online and offline engineering applications!

Unit Converter