What is the length of an arc of a circle of radius 8 units that subtends a central angle of radian measure 11pi/12?
1 Answer
Aug 9, 2016
≈ 23.038 units.
Explanation:
The length of the arc can be calculated as follows.
#"arc length" ="circumference"xx("angle subtended at centre")/(2pi)#
#"circumference"=2pir# here r = 8 and angle subtended at centre
#=(11pi)/12#
#rArr"arc length"=2pixx8xx((11pi)/12)/(2pi)#
#=cancel(2pi)xx8xx((11pi)/12)/(cancel(2pi))=(8xx11pi)/12=(88pi)/12#
#rArr"arc length"≈23.038" units"#
