What is the method for converting radians to degrees?

Algorithm Problem Overview

I run into this occasionally and always forget how to do it.

One of those things that pop up ever so often.

Also, what's the formula to convert angles expressed in radians to degrees and back again?

Algorithm Solutions

Solution 1 - Algorithm

radians = degrees * (pi/180)

degrees = radians * (180/pi)

As for implementation, the main question is how precise you want to be about the value of pi. There is some related discussion here

Solution 2 - Algorithm

a complete circle in radians is 2pi. A complete circle in degrees is 360. To go from degrees to radians, it's (d/360) * 2pi, or d*pi/180.

Solution 3 - Algorithm

x rads in degrees - > x180/pi
x degrees in rads -> xpi/180

I guess if you wanted to make a function for this [in PHP]:

function convert($type, $num) {
    if ($type == "rads") {
          $result = $num*180/pi();
        }

    if ($type == "degs") {
          $result = $num*pi()/180;
        }

    return $result;
  }

Yes, that could probably be written better.

Solution 4 - Algorithm

In javascript you can do it this way

radians = degrees * (Math.PI/180);

degrees = radians * (180/Math.PI);

Solution 5 - Algorithm

This works well enough for me :)

// deg2rad * degrees = radians
#define deg2rad (3.14159265/180.0)
// rad2deg * radians = degrees
#define rad2deg (180/3.14159265)

Solution 6 - Algorithm

180 degrees = PI * radians

Solution 7 - Algorithm

360 degrees is 2*PI radians

You can find the conversion formulas at: <http://en.wikipedia.org/wiki/Radian#Conversion_between_radians_and_degrees>;.

Solution 8 - Algorithm

360 degrees = 2*pi radians

That means deg2rad(x) = x*pi/180 and rad2deg(x) = 180x/pi;

Solution 9 - Algorithm

pi Radians = 180 degrees

So 1 degree = pi/180 radians

or 1 radian = 180/pi degrees

Solution 10 - Algorithm

For double in c# this might be helpful:

        public static double Conv_DegreesToRadians(this double degrees)
        {
            //return degrees * (Math.PI / 180d);
            return degrees * 0.017453292519943295d;
        }
        public static double Conv_RadiansToDegrees(this double radians)
        {
            //return radians * (180d / Math.PI);
            return radians * 57.295779513082323d;
        }

Solution 11 - Algorithm

Here is some code which extends Object with rad(deg), deg(rad) and also two more useful functions: getAngle(point1,point2) and getDistance(point1,point2) where a point needs to have a x and y property.

Object.prototype.rad = (deg) => Math.PI/180 * deg;
Object.prototype.deg = (rad) => 180/Math.PI * rad;
Object.prototype.getAngle = (point1, point2) => Math.atan2(point1.y - point2.y, point1.x - point2.x);
Object.prototype.getDistance = (point1, point2) => Math.sqrt(Math.pow(point1.x-point2.x, 2) + Math.pow(point1.y-point2.y, 2));

Solution 12 - Algorithm

radians = (degrees/360) * 2 * pi

Content Type	Original Author	Original Content on Stackoverflow
Question	Hans Sjunnesson	View Question on Stackoverflow
Solution 1 - Algorithm	Dave Costa	View Answer on Stackoverflow
Solution 2 - Algorithm	nsayer	View Answer on Stackoverflow
Solution 3 - Algorithm	thesmallprint	View Answer on Stackoverflow
Solution 4 - Algorithm	Rayiez	View Answer on Stackoverflow
Solution 5 - Algorithm	Warpling	View Answer on Stackoverflow
Solution 6 - Algorithm	Charles Graham	View Answer on Stackoverflow
Solution 7 - Algorithm	kokos	View Answer on Stackoverflow
Solution 8 - Algorithm	Hannes Ovrén	View Answer on Stackoverflow
Solution 9 - Algorithm	manobes	View Answer on Stackoverflow
Solution 10 - Algorithm	Koray	View Answer on Stackoverflow
Solution 11 - Algorithm	Netsi1964	View Answer on Stackoverflow
Solution 12 - Algorithm	Axeman	View Answer on Stackoverflow