What is the method for converting radians to degrees

Question

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

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180 degrees   PI   radians

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pi Radians   180 degrees  So 1 degree   pi 180 radians  or 1 radian   180 pi degrees

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360 degrees is 2 PI radians  You can find the conversion formulas at  http   en wikipedia org wiki Radian Conversion between radians and degrees

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In javascript you can do it this way  radians   degrees    Math PI 180    degrees   radians    180 Math PI

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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

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a complete circle in radians is 2 pi  A complete circle in degrees is 360  To go from degrees to radians  it s  d 360    2 pi  or d pi 180

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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    gt  Math PI 180   deg  Object prototype deg    rad    gt  180 Math PI   rad  Object prototype getAngle    point1  point2    gt  Math atan2 point1 y - point2 y  point1 x - point2 x   Object prototype getDistance    point1  point2    gt  Math sqrt Math pow point1 x-point2 x  2    Math pow point1 y-point2 y  2

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360 degrees   2 pi radians  That means deg2rad x    x pi 180 and rad2deg x    180x pi

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radians    degrees 360    2   pi

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x rads in degrees -   x 180 pi x degrees in rads -  x pi 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

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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

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This works well enough for me        deg2rad   degrees   radians  define deg2rad  3 14159265 180 0     rad2deg   radians   degrees  define rad2deg  180 3 14159265

[algorithm] What is the method for converting radians to degrees?

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