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what is the formula for the length of an arc. This angle measure can be in radians or degrees and we can easily convert between each with the formula p radians 180 p r a d i a n s 180. To indicate it the arc is preceded by the lowercase letter L for length.
R is the radius of the arc. Hence as the proportion between angle and arc length is constant we can say that. The circumference can be found by the formula C pd when we know the diameter and C 2pr when we know the radius as we do here.
This is the same as the degrees version but in the degrees case the 2p360 converts the degrees to radians.
Arc Length for x g y Let gy be a smooth function over an interval c d. S 2p r th360 when th is measured in degrees. Arc Length for x g y Let gy be a smooth function over an interval c d. Therefore if you divide an arcs degree measure by 360 you find the fraction of the circles circumference that the arc makes up.