Angle Converter
Convert between degrees, radians, gradians, arcminutes, arcseconds and full turns. A half turn is 180°, which is π radians.
Enter a value
Result
180 degrees =
3.14159 rad
180 × 0.0174533 = 3.14159
radians = degrees × π ÷ 180
Show the working
- 1. Convert 180 ° to degrees: 180 × 1 = 180.
- 2. Convert to rad: 180 ÷ 57.2958 = 3.14159.
180 ° in every unit
Key angles
- Right angle
- 90° = π/2 rad
- Half turn
- 180° = π rad
- Full turn
- 360° = 2π rad
Good to know: To convert degrees to radians, multiply by π/180 (about 0.017453).
About this tool
Convert between degrees, radians, gradians, arcminutes, and arcseconds — used in geometry, engineering, and programming.
Formula
Radians = degrees × π/180. Gradians = degrees × 10/9. 1 degree = 60 arcminutes.
Reference values
- 180° = π radians (3.14159)
- 360° = 400 gradians
- 1° = 60 arcminutes
Questions people ask
How many degrees are in a radian?
About 57.2958°.
How many gradians are in a right angle?
100 (a full circle is 400 gradians).
What is an arcminute?
One sixtieth of a degree. An arcsecond is one sixtieth of an arcminute.
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How we calculate this
We use the standard published formula or definition for this calculation, and we show the working so you can check it. Source: NIST Special Publication 811, Guide for the Use of the International System of Units.
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