radians to degrees conversion

radians to degrees conversion table

radians (rad)degrees (deg)
00
157.295779513082
2114.59155902616
3171.88733853925
4229.18311805233
5286.47889756541
6343.77467707849
7401.07045659158
8458.36623610466
9515.66201561774
10572.95779513082
201145.9155902616
301718.8733853925
402291.8311805233
502864.7889756541
603437.7467707849
704010.7045659158
804583.6623610466
905156.6201561774
1005729.5779513082
100057295.779513082

How to convert radians to degrees

1 radians (rad) is equal to 57.2957795 degrees (deg). Conversely, 1 degrees (deg) is equal to 0.01745329252 radians (rad).

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the degrees to other unit conversions.

Step by step guide to convert radians to degrees

Converting units

We know that 1 circle is 2πrad2\pi rad or 360 degrees. Thus,

2πrad=360°2\pi rad = 360 \degree

Solving the equation to degrees

1 rad=3602πdeg=57.2957795 deg1\ rad = \frac{360}{2\pi}deg = 57.2957795\ deg

or

1 degress=2π360rad=0.01745329251 rad1\ degress = \frac{2\pi}{360}rad = 0.01745329251\ rad

Wikipedia page for Radian
Wikipedia page for Degree

Complete radians conversion table

Enter # of radians
Convert 1 rad to other unitsResult
radians to degrees (rad to deg)57.295779513082
radians to gradians (rad to grad)63.661977236758
radians to arcminutes (rad to arcmin)3437.7467707849
radians to arcseconds (rad to arcsec)206264.8062471