A pendulum-like swing at an amusement park moving in a circular arc at the end of a 49 meter arm. Find the distance traveled by a rider at the end of the swing's arm if the angle made between the two extreme points is 150° is?
- 135.22 m
- 132.45 m
- 128.33 m
- None of these
Explanation
To find the distance traveled by the rider, we need to calculate the arc length:
Given:
Radius (r) = 49 meters
Angle (θ) = 150°
First, convert the angle to radians:
θ = 150° * (π / 180)
= 150 * π / 180
= 5π/6 radians
Now, calculate the arc length (s):
s = r * θ
= 49 * (5π/6)
= 49 * 5 * 3.14159 / 6
≈ 128.33 meters
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