A radian is a unit of an angle, whose arc is equal in length to the radian. To measure the circumference of a circle the formula is C=2pir. If r=1 C would equal 2pi(1) making the circumference 2pi. When the radian count is 3.1 you are half way around the circle. which is very close to pi. When you have went all the way around the circle the radian count is 6.25 which is basically double pi. This means that a full measure around the circle in radians is 2pi. Radians are just another unit to measure angles with like degrees. To convert to radians from degrees you multiply by pi/180. To go to degrees from radians you multyply by 180/pi. I think degrees is easier to use because I can just picture it better in my head. When I see something in radians then I have to try and convert it and in the process I may make little mistakes along the way. When in degrees I know how to start and can just go on with the problem. We must learn radians because technically speaking a degree is not a number and to do math you need a number. It is kind of like fractions needing to be in decimal form. So when con sidering which is more "pure" mathmatically speaking the I think it is radians.
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