Why do radians even exist? Why would you use them instead of degrees?
In: Mathematics
Pi (π) is the ratio of a circle’s circumference (the length around its border) and its diameter (the length of any line drawn from one point on the circle border to the directly opposite point. This line splits the circle into two perfectly even halves).
Written as an equation where c is the circumference and d is the diameter,
c = π × d
Because circles often the whole or entirety of something, and because circles show up frequently in the math relating to cycles, many equations have pi in them. Defining the angles of a circle using pi therefore makes sense, since it keeps the equations simple/straightforward to solve.
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