How many degrees are in one radian?

There are 57.295779513082 degrees in one radian. This means 1 rad equals 57.295779513082 deg.

What is the formula for radians to degrees?

The conversion formula is: degrees = radians × 57.295779513082. Simply multiply your value in radians by 57.295779513082 to get the result in degrees.

Convert radians to degrees (rad to deg)

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

Amount

From

572.95779513082

Result

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

How to Convert radians to degrees

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

degrees = radians × 57.295779513082

This means that 1 radian equals 57.295779513082 degrees. Conversely, 1 degree equals 0.017453292519943 radians.

Example Calculation

To convert 10 radians to degrees:

10 rad × 57.295779513082 = 572.95779513082 deg

Common radians to degrees Conversions

1 rad = 57.295779513082 deg
5 rad = 286.47889756541 deg
10 rad = 572.95779513082 deg
50 rad = 2864.7889756541 deg
100 rad = 5729.5779513082 deg

Quick Reference

Conversion Formula: degrees = radians × 57.295779513082

Conversion Ratio: 1 rad = 57.295779513082 deg

Inverse Conversion: 1 deg = 0.017453292519943 rad

Common Applications

Converting between radians and degrees 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 radians to degrees?

To convert radians to degrees, multiply the value by 57.295779513082. The formula is: degrees = radians × 57.295779513082. For example, 10 rad = 572.95779513082 deg.

How many degrees are in 1 radian?

There are 57.295779513082 degrees in 1 radian. This is the standard conversion factor for angle measurements.

What is the formula for converting rad to deg?

The conversion formula is: deg = rad × 57.295779513082. Simply multiply your radians value by 57.295779513082 to get the equivalent in degrees.

How do you convert degrees to radians?

To convert degrees back to radians, multiply by 0.017453292519943. The inverse formula is: radians = degrees × 0.017453292519943.

Is radians to degrees conversion accurate?

Yes, this converter uses the standard international conversion factor of 57.295779513082, ensuring accurate and reliable results for all angle conversions.

When should I use radians vs degrees?

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

Quick Reference - rad to deg

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

rad	deg
0.1 rad	5.7295779513082 deg
0.2 rad	11.459155902616 deg
0.3 rad	17.188733853925 deg
0.4 rad	22.918311805233 deg
0.5 rad	28.647889756541 deg
0.6 rad	34.377467707849 deg
0.7 rad	40.107045659158 deg
0.8 rad	45.836623610466 deg
0.9 rad	51.566201561774 deg

rad	deg
1 rad	57.295779513082 deg
2 rad	114.59155902616 deg
3 rad	171.88733853925 deg
4 rad	229.18311805233 deg
5 rad	286.47889756541 deg
6 rad	343.77467707849 deg
7 rad	401.07045659158 deg
8 rad	458.36623610466 deg
9 rad	515.66201561774 deg

rad	deg
10 rad	572.95779513082 deg
20 rad	1145.9155902616 deg
30 rad	1718.8733853925 deg
40 rad	2291.8311805233 deg
50 rad	2864.7889756541 deg
60 rad	3437.7467707849 deg
70 rad	4010.7045659158 deg
80 rad	4583.6623610466 deg
90 rad	5156.6201561774 deg

rad	deg
100 rad	5729.5779513082 deg
200 rad	11459.155902616 deg
300 rad	17188.733853925 deg
400 rad	22918.311805233 deg
500 rad	28647.889756541 deg
600 rad	34377.467707849 deg
700 rad	40107.045659158 deg
800 rad	45836.623610466 deg
900 rad	51566.201561774 deg

rad	deg
1000 rad	57295.779513082 deg
2000 rad	114591.55902616 deg
3000 rad	171887.33853925 deg
4000 rad	229183.11805233 deg
5000 rad	286478.89756541 deg
6000 rad	343774.67707849 deg
7000 rad	401070.45659158 deg
8000 rad	458366.23610466 deg
9000 rad	515662.01561774 deg

rad	deg
10000 rad	572957.79513082 deg
20000 rad	1145915.5902616 deg
30000 rad	1718873.3853925 deg
40000 rad	2291831.1805233 deg
50000 rad	2864788.9756541 deg
60000 rad	3437746.7707849 deg
70000 rad	4010704.5659158 deg
80000 rad	4583662.3610466 deg
90000 rad	5156620.1561774 deg