Why do radians even exist? Why would you use them instead of degrees?
In: Mathematics
The relationship of a circle’s radius r and arc length s is s = rθ where θ is the angle in radians. This relationship defines that 1 radian is the angle where the radius and arc length are equal. This makes the radian a very natural choice for angles. For example, since 2π radians is the angle subtended for a full circle, the arc length is just the circumference 2πr.
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