Angle
Degrees and radians
The exact relationship between the two most common angle units.
The Formula
Radians = degrees x pi / 180
The exact relationship between the two most common angle units.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| deg | Degrees | number | Angle in degrees. |
| rad | Radians | number | The same angle in radians. |
What Each Symbol Means
degnumber
Degrees
Angle in degrees.
radnumber
Radians
The same angle in radians.
See It Worked With Real Numbers
A formula on its own does not tell you which number goes where. The how to convert angle units page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.
Where This Formula Appears
This equation is the working core of How To Convert Angle Units, filed under Unit Conversion. Every number the guide produces comes from substituting into this one line.