Hi, everyone.
Could you tell me what "corresponding to" means in this context?
. The technical definition of radian measure is the length of the arc subtended by the angle, divided by the radius of the circle the angle is a part of, where subtended means to be opposite of the angle and to extend from one point on the circle to the other, both marked off by the angle. This tells us that an angle theta = s / r radians, where s = length of the arc corresponding to theta, and r = radius of the circle theta is a part of.
It means something like "matching", in the sense that the angle defines the arc length (and vice versa), so that when we are given an angle there is also defined a matching, or "corresponding", arc length.
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It means something like "matching", in the sense that the angle defines the arc length (and vice versa), so that when we are given an angle there is also defined a matching, or "corresponding", arc length.