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"
