A radian is a unit of angle, equal to an angle at the center of a circle whose arc is equal in length to the radius. It is hard to understand but simple to explain. Radians relate to a unit circle by the points around the circle having a degree that can be converted into radians all around it. The formula for circumference is C=2pir and the measure of radian is 2pi which is the measure of a full unit circle. Radians and degrees relate because they convert into each other on a unit circle. I prefer degrees because it is what I use daily and it is easier to remember. Radians seem more mathematically "pure" because it has pi in it and degrees is more of a scientific term.
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