Find the length of the arc shown in red. Leave your answer in terms of pi.
120°
60ft
The length of the arc is
enter your response here ft.
(Simplify your answer. Type an exact answer in terms of pi.)
The formula to calculate the length of an arc given an angle in radians and the radius is:
Length of arc = angle in radians x radius
We first need to convert 120° to radians:
120° = 120° x π/180° = 2π/3 radians
Now, we can calculate the length of the arc:
Length of arc = (2π/3) x 60ft = 40π ft
Therefore, the length of the arc shown in red is 40π ft.