Degrees to Radians Converter
Definition
A degree (°) is a unit of angular measure where a full circle is divided into 360 equal parts, commonly used in navigation and engineering. A radian (rad) measures an angle where the arc length equals the radius, with 360° equaling 2π radians, standard in mathematics and physics.
History
degrees originated with the Babylonians around 2000 BCE, using a sexagesimal (base-60) system, adopted by Greek astronomers like Ptolemy. Radians were conceptualized in the 18th century and named in 1873 by james thomson, reflecting their utility in calculus and circular geometry.
Convert degrees to radians Easily
Use our degrees to radians converter to quickly convert angle conversion,deg to rad,convert degrees to radians. Whether you need a how many radians in a degree,degrees to radians formula,pi radians conversion, our tool is fast, accurate, and free. Enter a value in Degrees to get instant results. Our tool also supports variations like rad from degrees,degrees into rad and common misspellings such as degree to radian,degs to rads.
How to Convert Degrees to Radians
To manually convert degrees to radians, multiply the degrees value by 0.01745329. Enter your value in the converter above for precise calculations.
degrees to radians Conversion Table
| Degrees (deg) | Radians (rad) |
|---|---|
| 1 deg | 0.01745329 rad |
| 2 deg | 0.03490658 rad |
| 3 deg | 0.05235987 rad |
| 4 deg | 0.06981316 rad |
| 5 deg | 0.08726645 rad |
| 6 deg | 0.10471974 rad |
| 7 deg | 0.12217303 rad |
| 8 deg | 0.13962632 rad |
| 9 deg | 0.15707961 rad |
| 10 deg | 0.17453290 rad |
| 50 deg | 0.87266450 rad |
| 100 deg | 1.74532900 rad |