Why do radians even exist? Why would you use them instead of degrees?

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Why do radians even exist? Why would you use them instead of degrees?

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In the military we used milliradians because it increases proportionally so its easier to estimate distance/length based on length/distance. 1 mil = 1 meter at 1 kilometer. so if you know a tank is 10 meters long and you look through your M-22 binoculars and notice that it takes up 1 mil in your reticle you can estimate the distance at 10 kilometers.

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