A child swings on a playground swing set. If the length of the swing is 3m and the child swings through an angle of #pi/9#, what is the exact arc length through which the child travels?

Question

#pi/9#

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Answer 1 · 2018-04-12T14:11:27

arc length#=22/21#m

Given that,

#rarr#radius=3m

#rarrtheta=pi/9#

#rarr#arc length(l)=?

We have,

#rarrtheta=l/r#

#rarrpi/9=l/3#

#rarrl=(3pi)/9=pi/3=22/(7*3)=22/21#