# 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"#