Radian Converter
Convert between degrees and radians. Also shows the angle as a fraction of pi.
Radianti
0.78539816
Formula
## Radian Conversion ### Formulas **Radians = Degrees × pi/180** **Degrees = Radians × 180/pi** ### Common Conversions | Degrees | Radians | Pi Form | |---------|---------|--------| | 30° | 0.5236 | pi/6 | | 45° | 0.7854 | pi/4 | | 60° | 1.0472 | pi/3 | | 90° | 1.5708 | pi/2 | | 180° | 3.1416 | pi | | 360° | 6.2832 | 2pi |
Esempio Risolto
Convert 45° to radians.
- 01Radians = 45 × pi/180 = pi/4
- 02= 0.7854 radians
- 03Gradians = 45 × 10/9 = 50 grad
Domande Frequenti
What is a radian?
A radian is the angle subtended at the center of a circle by an arc equal in length to the radius. There are 2pi radians in a full circle.
What are gradians?
Gradians divide a right angle into 100 parts, so a full circle is 400 gradians. They are used in some surveying and engineering contexts.
Why is pi/4 radians equal to 45°?
A full circle is 360° = 2pi radians. So 45° = 45/360 × 2pi = pi/4 radians.
Impara