Online calculator to convert degrees to radians (deg to rad) with formulas, examples, and tables. Our conversions provide a quick and easy way to convert between Angle units.
Conversion Calculator
Enter your value in the conversion calculator below.
Convert deg to rad
TIP: If the result of your conversion is 0, try increasing the "Decimals".
Conversion Definitions
The following is a list of definitions relating to conversions between degrees and radians.
What is a degree (deg or °)?
A degree is a non-SI unit of angular measure. The symbol for degree is deg or °. There are 57.2957795130823 degrees in a radian.
What is a radian (rad)?
A radian is a unit of angular measure in the International System of Units (SI). The symbol for radian is rad. There are 0.01745 radians in a degree.
Conversion Formula
Let's take a closer look at the conversion formula so that you can do these conversions yourself with a calculator or with an old-fashioned pencil and paper.
The formula to convert from deg to rad is:
radians = degrees x π/180°
Conversion Example
Next, let's look at an example showing the work and calculations that are involved in converting from degrees to radians (deg to rad).
Degree to Radian Conversion Example
Task: Convert 360 degrees to radians (show work) Formula: degrees x π/180° = radians Calculations: 360 degrees x π/180° = 6.28319 radians Result: 360 degrees is equal to 6.28319 radians
Conversion Table
For quick reference purposes, below is a conversion table that you can use to convert from deg to rad.
Degrees to Radians Conversion Chart
| degrees (deg) | radians (rad) |
|---|---|
| 1 deg | 0.01745 rad |
| 2 deg | 0.03491 rad |
| 3 deg | 0.05236 rad |
| 4 deg | 0.06981 rad |
| 5 deg | 0.08727 rad |
| 6 deg | 0.10472 rad |
| 7 deg | 0.12217 rad |
| 8 deg | 0.13963 rad |
| 9 deg | 0.15708 rad |
| 10 deg | 0.17453 rad |
| 20 deg | 0.34907 rad |
| 30 deg | 0.5236 rad |
| 40 deg | 0.69813 rad |
| 50 deg | 0.87266 rad |
| 75 deg | 1.309 rad |
| 100 deg | 1.74533 rad |
| 250 deg | 4.36332 rad |
| 500 deg | 8.72665 rad |
| 750 deg | 13.08997 rad |
| 1,000 deg | 17.45329 rad |
| 2,500 deg | 43.63323 rad |
| 5,000 deg | 87.26646 rad |
| 7,500 deg | 130.89969 rad |
| 10,000 deg | 174.53293 rad |
| 25,000 deg | 436.33231 rad |
| 50,000 deg | 872.66463 rad |
| 75,000 deg | 1,308.99694 rad |
| 100,000 deg | 1,745.32925 rad |
| 250,000 deg | 4,363.32313 rad |
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