Angle conversion rules
Degrees, radians, and gradians all describe the same rotation, but each scale divides a full circle differently.
- Radians = degrees x pi / 180
- Degrees = radians x 180 / pi
- Gradians = degrees x 10 / 9
Angle Converter
Angle Converter
Convert angle units for geometry, trigonometry, rotation settings, graphics work, and engineering formulas.
From
To
rad
How to use the angle converter
1
Enter the angle value you want to convert, such as a geometry result, rotation setting, engineering value, formula input, or graphics parameter.
2
Choose the unit you already have, then switch the target unit to the format expected by the formula, design tool, drawing, or API.
3
Use the result to compare angles, check formulas, or translate values across degrees, radians, gradians, and other angle units.
Common angle examples
90 deg
1.5708 rad = 100 grad
A right angle in geometry, trig, layout, and rotation work.
180 deg
3.1416 rad = 200 grad
Half a turn, often written as pi radians.
360 deg
6.2832 rad = 400 grad
One full rotation around a circle.
Angle conversion notes
- Most geometry and everyday rotation values use degrees.
- Trigonometry functions in code and many math libraries often expect radians.
- Gradians divide a right angle into 100 units and are common in some surveying contexts.
Helpful when angle values need a different unit
Useful for formulas, rotations, and graphics
Read degrees, radians, gradians, geometry values, rotation settings, and engineering angles in the unit your task needs.
Compare nearby angles in place
Change the number or unit and keep the converted angle visible while checking alternatives.
Works for math and technical checks
Use it for degrees, radians, gradians, geometry problems, trig work, and engineering calculations.
Useful beside formulas, drawings, and code
Convert an angle while studying, coding, drawing, debugging, or checking a technical reference.
Editorial and accuracy note
Angle Converter combines a working converter with practical guidance on the same page. The page is designed to show the formula, examples, rounding notes, and related tools so visitors can judge whether the result fits a task such as shipping, recipes, logs, design, travel, or automotive planning.
- Results are calculated in the browser with standard conversion factors for common units.
- For official forms, engineering tolerances, medical decisions, or compliance work, verify the original measurement and the relevant source rule.
- The surrounding notes focus on real use cases instead of repeating generic placeholder copy.
More angle converters
Angle converter FAQ
How are angle units converted here?
The page uses fixed angle conversion relationships for standard unit pairs, suitable for geometry, trigonometry, graphics, and engineering checks.
When do people usually use an angle converter?
Usually when solving geometry problems, checking trig values, adjusting rotation settings, working with graphics, or reading engineering formulas.
Can I use this angle converter on mobile?
Yes. The page works on phones, tablets, and desktop screens.
Want a more specific angle converter?
Jump to focused tools for degrees to radians, radians to degrees, and other targeted angle checks.
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