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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.
The size of a radian is determined by the requirement that there are 2 radians in a circle. Thus 2 radians equals 360 degrees. This means that 1 radian = 180/ degrees, and 1 degree = /180 radians. The reason for this is that so many formulas become much easier to write and to understand when radians are used to measure angles. A very good example is provided by the formula for the length of a circular arc.