Angle Conversion Calculator
Convert units of angles by entering the value to convert and the from and to units.
How to Convert Units of Angles:
Conversions are performed by using a conversion factor. By knowing the conversion factor, converting between units can become a simple multiplication problem:
S * C = E
Where S is our starting value, C is our conversion factor, and E is our end converted result.
Example:
5 radians * 57.29578 [degrees / radian] = 286.4789 degrees
To convert from degrees back into radians:
286.4789 degrees / 57.29578 [degrees / radian] = 5 radians
To convert among any units in the left column, say from A to B, multiply by the factor for A to convert A into degrees, then divide by the factor for B to convert out of degrees.
Table of Angular Conversions to Degrees
| From Unit | Symbol | To Degrees Multiply By |
|---|---|---|
| radian | rad | 57.29578 |
| degree | ° | 1 |
| minutes | ' | 0.016667 |
| seconds | " | 2.777778e-4 |
| octant | oct | 45 |
| sextant | sex | 60 |
| quadrant | quad | 90 |
| revolution | r | 360 |
| gon | gon | 0.9 |
| mil | mil | 0.05625 |
Table of Angular Conversions to Radians
| From Unit | Symbol | To Radians Multiply By |
|---|---|---|
| radian | rad | 1 |
| degree | ° | 0.01745329 |
| minutes | ' | 2.908882e-04 |
| seconds | " | 4.848137e-06 |
| octant | oct | 0.7853982 |
| sextant | sex | 1.047196 |
| quadrant | quad | 1.570796 |
| revolution | r | 6.283185 |
| gon | gon | 0.01570796 |
| mil | mil | 9.817477e-4 |
References / Further Reading
The National Institute of Standards and Technology (NIST) - The NIST Guide for the use of the International System of Units - Appendix B.
Lide, David R., Daniel (Editor-in-Chief). CRC Handbook of Chemistry and Physics, 89th Edition, CRC Press, 2008.
Wikipedia contributors. "Conversion of units" Wikipedia, The Free Encyclopedia, last visited 26 Jun. 2011.