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If you google 2 radians in degrees it gives you thee answer. Well if there are 2(pi)rad in 360 degrees, then you have 2(pi)rad = 360. if you divide both sides by pi you get 2rad = 360/pi. That is your exact answer. If you are supposed to round, you get about 114.59 degrees. Scott S Â· 5 years ago.
Say you want to convert from radians to degrees. Since you can multiply anything by 1 and still retain the original value, but in different units, set it up so that radian will cancel out leaving you with degree. Since: 1 degree = 0.01745329 radians, 1 degree / 0.01745329 radians = 1. We can write the conversion as: 1 radian = 1 radian * (1 degree / 0.01745329 radians) = 57.29578 degrees. And we now have our factor for conversion from radians to degrees since 1 * 57.29578 = 57.29578. Note that there are rounding errors in these values.