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equation for length of an arc. The corresponding formulas for arc sector are. The arc length is frac 1 4 times pi times 8 2 pi.
The corresponding formulas for arc sector are. L th r when th is in radians L th p 180 r when th is in degrees. The arc length is then given by.
There are 360 degrees in any circle.
Arc Length Formula For a circle of radius r r subtended by an angle of th th radians the length s s of the corresponding arc is s 2pr th 2p s 2 p r th 2 p. Radius r 0. L r th Hence the arc length is equal to radius multiplied by the central angle in radians. Substituting in the circumference and with a being the same angle measured in degrees since th a 180 p the arc length equals.