Question

how to prove that how many radius is equal to 360 degree​

Answer 1

The radian is a unit of angular measure defined such that an angle of one radian subtended from the center of a unit circle produces an arc with arc length 1. A full angle is therefore 2pi radians, so there are 360° per 2pi radians, equal to 180°/pi or 57.29577951°/radian. Similarly, a right angle is pi/2 radians and a straight angle is pi radians. Radians are the most useful angular measure in calculus because they allow derivative and integral identities to be written in simple terms, e.g., d/(dx) sinx = cosx for x measured in radians. Unless stated otherwise, all angular quantities considered in this work are assumed to be specified in radians.

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