7 units
Angle Converter
Convert between degrees, radians, gradians, arc-minutes and arc-seconds. 360° = 2π rad = 400 grad.
Popular angle conversions
Common angle conversions
| From | Equivalent |
|---|---|
| 1 ° | 0.01745329 rad · 1.11111111 gon · 60 ′ · 3600 ″ · 0.00277778 rev |
| 5 ° | 0.08726646 rad · 5.55555556 gon · 300 ′ · 18000 ″ · 0.01388889 rev |
| 10 ° | 0.17453293 rad · 11.11111111 gon · 600 ′ · 36000 ″ · 0.02777778 rev |
| 100 ° | 1.74532925 rad · 111.11111111 gon · 6000 ′ · 360000 ″ · 0.27777778 rev |
| 1000 ° | 17.45329252 rad · 1111.11111111 gon · 60000 ′ · 3600000 ″ · 2.77777778 rev |
How the conversion works
Linear in degrees. 1 radian = 180/π ≈ 57.2958°. 1 gradian = 0.9°. 1 revolution = 360°.
When you'll use this converter
- Mathematics and trigonometry (radians)
- Surveying and navigation (degrees, minutes, seconds)
- Engineering (mrad for laser sights, optics)
- Astronomy (arc-seconds for stellar parallax)
Frequently asked
Why are radians used in math instead of degrees?
Because in radians, derivatives and series of trig functions take their simplest form (d/dx sin(x) = cos(x) only when x is in radians).
How many degrees in 1 radian?
1 rad = 180/π ≈ 57.2958°.