Answer:
6.28
Step-by-step explanation:
The length of arc which subtends an angle [tex]\alpha[/tex] at the center of a circle is given by [tex]\alpha r[/tex] where r is the radius of circle.
______________________________
given
the central angle of arc is 120°
[tex]\pi = 180\\120 = (\pi /180)* 120\\120 = 2/3\pi[/tex]
we will use value of [tex]\pi[/tex] as 3.14
r = 3
Length of this arc is
[tex]2/3( \pi *3) = 2\pi \\=2*3.14 = 6.28[/tex]
The length of the arc to the nearest hundredth of unit is 6.28
