Find the length of an arc that subtends a central angle of 350° in a circle of radius 20 mi? Answer in EXACT form

1 Answer
sankarankalyanam
Feb 21, 2018

Length of arc #L = = color(green)((350pi) / 9 )# #mm#

Explanation:

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Length of the arc is given by the formula

#L =# n^@ / 360) * 2 pi r# where

Central angle #n = 350^@#, radius #r = 20 mm#

#L = (350 / 360) * 2 pi * 20 = (350 * cancel(40) * pi) / cancel(360)^color(red)(9#

#L = color(green)((350pi) / 9 )# #mm# ~~ 122.173# #mm#

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