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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25 Answers

Anonymous 0 Comments

Very simply: degrees are an arbitrary unit. We could decide on 300 or 42 degrees to a circle. There is nothing specific about 360 that would lead a separate group to use that number of degrees.

But there is a reason that another group would use 6.28 radians to describe a full circle. This is the relationship between the traits and diameter. This is what you get no matter how you measure the circle.

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