Angle Converter
Convert angles between degrees, radians, gradians, arcminutes, arcseconds, and full turns.
Independently verified for accuracy
Calculator by Toolsloft ↗- Result
- 0.017453 Radians (rad)
- Conversion
- 1 Degrees (deg) = 0.017453 Radians (rad)
Convert angles between degrees, radians, and gradians, plus arcminutes and arcseconds for fine measurements. Useful for trigonometry, engineering, and programming where functions expect radians.
How this is calculated
Values route through the radian. One full turn is 2 pi radians and equals 360 degrees, so one degree is pi divided by 180 radians. A gradian is pi divided by 200 radians, an arcminute is one sixtieth of a degree, and an arcsecond is one thirty-six-hundredth of a degree.
How to use
- Enter the angle value.
- Choose the unit you have and the unit you want.
- Read the result, or press Swap to reverse.
Examples
- Degrees to radians:
180 deg = 3.141593 rad - Right angle:
90 deg = 1.570796 rad - Full turn:
1 turn = 360 deg
FAQ
- How do I convert degrees to radians?
- Multiply degrees by pi and divide by 180. So 180 degrees is pi radians, about 3.1416.
- What is a gradian?
- A gradian, or gon, splits a right angle into 100 parts, so a full circle is 400 gradians. It is used in some surveying work.