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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.
Converting radians to degrees: To convert radians to degrees, we make use of the fact that p radians equals one half circle, or 180. This means that if we divide radians by p, the answer is the number of half circles.Multiplying this by 180 will tell us the answer in degrees.o convert radians to degrees, we make use of the fact that p radians equals one half circle, or 180. This means that if we divide radians by p, the answer is the number of half circles. Multiplying this by 180 will tell us the answer in degrees.