Answer:
The length of the arc is 12.43cm
Step-by-step explanation:
First of all we need to calculate the circumference
To solve this problem we need to use the circumference formula of a circle:
c = circumference
r = radius = 9.5 cm
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 9.5cm
c = 59.66cm
The length of the circumference is 59.66cm
A complete circumference has 2pi radians
We divide 5pi/12 by 2pi and obtain the fraction of the total circle
(5pi/12) / 2pi = 5/24
we multiply this fraction with the circumference and obtain the length of the arc
59.66cm * 5/24 = 12.43cm
The length of the arc is 12.43cm
