interlanken-fall
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Im still confused what it is, is a radian when the radius and the length of the arc is the same? because I'm doing a question where the radius is different from the arc length, so what is a radian?
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username5737602
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1 radian is the angle between 2 radii when the arc length is equal to the length of the radii. In the question you mentioned, since the arc length and radius are not the same, the angle between the 2 radii is not 1 radian.
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anosmianAcrimony
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A radian is a unit of angle size in the same way that a degree is a unit of angle size. There are 2pi radians, and 360˚, in a circle. Radians are almost always described in multiples or fractions of pi.

Tej, above, describes the derivation of the radian very well.
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