How many radians are in one degree?

There are 0.017453292519943 radians in one degree. This means 1 deg equals 0.017453292519943 rad.

What is the formula for degrees to radians?

The conversion formula is: radians = degrees × 0.017453292519943. Simply multiply your value in degrees by 0.017453292519943 to get the result in radians.

Convert degrees to radians (deg to rad)

Use this tool to convert between angle units like radian, degree, gradian etc.

Amount

From

0.17453292519943

Result

Use this calculator to convert degrees (deg) to radians (rad) with ease. Get accurate angle conversions instantly.

How to Convert degrees to radians

Converting degrees to radians is straightforward. The conversion formula is:

radians = degrees × 0.017453292519943

This means that 1 degree equals 0.017453292519943 radians. Conversely, 1 radian equals 57.295779513083 degrees.

Example Calculation

To convert 10 degrees to radians:

10 deg × 0.017453292519943 = 0.17453292519943 rad

Common degrees to radians Conversions

10 deg = 0.17453292519943 rad
50 deg = 0.87266462599715 rad
100 deg = 1.7453292519943 rad
500 deg = 8.7266462599715 rad
1000 deg = 17.453292519943 rad

Quick Reference

Conversion Formula: radians = degrees × 0.017453292519943

Conversion Ratio: 1 deg = 0.017453292519943 rad

Inverse Conversion: 1 rad = 57.295779513083 deg

Common Applications

Converting between degrees and radians is frequently needed in:

Technical documentation
Scientific calculations and research
Engineering projects
Educational purposes and learning

Whether you're working on a professional project or need conversions for everyday tasks, this angle converter provides accurate results instantly.

Frequently Asked Questions

How do you convert degrees to radians?

To convert degrees to radians, multiply the value by 0.017453292519943. The formula is: radians = degrees × 0.017453292519943. For example, 100 deg = 1.7453292519943 rad.

How many radians are in 1 degree?

There are 0.017453292519943 radians in 1 degree. This is the standard conversion factor for angle measurements.

What is the formula for converting deg to rad?

The conversion formula is: rad = deg × 0.017453292519943. Simply multiply your degrees value by 0.017453292519943 to get the equivalent in radians.

How do you convert radians to degrees?

To convert radians back to degrees, multiply by 57.295779513083. The inverse formula is: degrees = radians × 57.295779513083.

Is degrees to radians conversion accurate?

Yes, this converter uses the standard international conversion factor of 0.017453292519943, ensuring accurate and reliable results for all angle conversions.

When should I use degrees vs radians?

degrees and radians are different units of angle. Use degrees for various applications and radians for various applications.

Quick Reference - deg to rad

Quick reference table showing common degrees to radians conversions. Use this chart for fast lookups of frequently used values.

deg	rad
0.1 deg	0.0017453292519943 rad
0.2 deg	0.0034906585039887 rad
0.3 deg	0.005235987755983 rad
0.4 deg	0.0069813170079773 rad
0.5 deg	0.0087266462599716 rad
0.6 deg	0.010471975511966 rad
0.7 deg	0.01221730476396 rad
0.8 deg	0.013962634015955 rad
0.9 deg	0.015707963267949 rad

deg	rad
1 deg	0.017453292519943 rad
2 deg	0.034906585039887 rad
3 deg	0.05235987755983 rad
4 deg	0.069813170079773 rad
5 deg	0.087266462599716 rad
6 deg	0.10471975511966 rad
7 deg	0.1221730476396 rad
8 deg	0.13962634015955 rad
9 deg	0.15707963267949 rad

deg	rad
10 deg	0.17453292519943 rad
20 deg	0.34906585039887 rad
30 deg	0.5235987755983 rad
40 deg	0.69813170079773 rad
50 deg	0.87266462599716 rad
60 deg	1.0471975511966 rad
70 deg	1.221730476396 rad
80 deg	1.3962634015955 rad
90 deg	1.5707963267949 rad

deg	rad
100 deg	1.7453292519943 rad
200 deg	3.4906585039887 rad
300 deg	5.235987755983 rad
400 deg	6.9813170079773 rad
500 deg	8.7266462599716 rad
600 deg	10.471975511966 rad
700 deg	12.21730476396 rad
800 deg	13.962634015955 rad
900 deg	15.707963267949 rad

deg	rad
1000 deg	17.453292519943 rad
2000 deg	34.906585039887 rad
3000 deg	52.35987755983 rad
4000 deg	69.813170079773 rad
5000 deg	87.266462599716 rad
6000 deg	104.71975511966 rad
7000 deg	122.1730476396 rad
8000 deg	139.62634015955 rad
9000 deg	157.07963267949 rad

deg	rad
10000 deg	174.53292519943 rad
20000 deg	349.06585039887 rad
30000 deg	523.5987755983 rad
40000 deg	698.13170079773 rad
50000 deg	872.66462599716 rad
60000 deg	1047.1975511966 rad
70000 deg	1221.730476396 rad
80000 deg	1396.2634015955 rad
90000 deg	1570.7963267949 rad