Answer: 31.43 cm
Step-by-step explanation:
The length of an arc is calculated using the formula:
[tex]\frac{theta}{360}[/tex] X 2[tex]\pi[/tex]r
where : theta is the angle in degree
r = radius
If the angle is given in Radian , the length can be calculated using the formula:
L = r∅
Since , the angle is given in degree , we will use the first formula.
L = [tex]\frac{theta}{360}[/tex] X 2[tex]\pi[/tex]r
L = [tex]\frac{120}{360}[/tex] X 2 X π X 15
L = [tex]\frac{1}{3}[/tex] X 2 X [tex]\frac{22}{7}[/tex] X 15
L = [tex]\frac{660}{21}[/tex]
L = 31.42857143
L ≈ 31.43 cm
