Radian Degree Converter
Radian degree converter
Convert angles between degrees and radians.
InputsForm2 fieldsLive
Result
3.1415926536 rad
Using radians = degrees × pi / 180.
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Formula
radians = degrees x pi / 180 degrees = radians x 180 / pi Symbol legend
| Symbol | Meaning | Unit | Copy |
|---|---|---|---|
\text{degrees} | Angle in degree measure | deg | |
\text{radians} | Angle in radian measure | rad | |
\pi | Pi constant | - |
- To convert degrees to radians, multiply by pi/180.
- To convert radians to degrees, multiply by 180/pi.
- Both conversions are exact scale transforms of the same angle.
Example
Worked example: 180 degrees to radians
- 1 radians = 180 x pi / 180
- 2 radians = pi
- 3 pi is approximately 3.1415926536
180 degrees equals pi radians.
How
- Choose conversion direction: Degrees to Radians or Radians to Degrees.
- Enter the angle value.
- Read the converted result instantly.
Avoid
- Using inverse conversion factor for the selected direction.
- Mixing degree-mode and radian-mode values in trigonometric functions.
- Rounding pi too early in chained calculations.
FAQ
Why does 180 degrees equal pi radians?
A straight angle equals half a full turn, which is pi radians by definition.
Can I input decimal angles?
Yes, decimal degree and radian values are supported.
Should trigonometric calculators use radians?
Many advanced math and programming contexts use radians by default.
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