A carousel horse travels on a circular path with a radius of 15 ft. How many feet does the horse travel over an angle of 2π3 radians? Round to the nearest foot.

2π3 radians =

The horse travels 31 feet over an angle of radians

Step-by-step explanation:

∵ A carousel horse travels on a circular path

- That means the distance that the horse travels is the length

   of an arc of the circular path

∵ The radius of the circular path is 15 feet

∴ r = 15 ft

∵ The horse travel over an angle of radians

- Let us change it to degree by multiply it by

∵   × = = 120°

- use the formula above to find the distance

∵ d = × 2πr

∵ x = 120°

∴ d = × 2π × 15

∴ d = 10π

∴ d = 31.41592654 feet

- Round it to the nearest foot

∴ d = 31 feet

The horse travels 31 feet over an angle of radians