Answer:
75π
Explanation:
Length of an arc formula:
Where:
- r = radius
- θ = central angle
Here we are given the following:
- Radius(r) = 90m
- Central Angle(θ) = 150°
By plugging these values into the formula we acquire(Note that the answer must be in terms of π, meaning that we do not simplify it and leave it in the final answer):
- Arc Length = 2π(90)(150/360)
- Arc Length = 2π(90)(5/12)
- Arc Length = 2π(37.5)
- Arc Length = 75π
The length of the arc is 75πm