Mathematics: Select all correct conversions.

Select all correct conversions. - id8918269, sophiat17

ineedhelplolol

01.03.2021

31 foot

Step-by-step explanation:

Radius of the circular path = 15 feet

Angle of horse travel on a circular path = $\frac{2\pi }{3}$ radians = Central Angle

Central angle = $\frac{2\pi}{3} \times \frac{180}{\pi}$ degrees = 120°

Distance travelled by the carousel horse on the circular path over an angle of $\frac{2\pi}{3}$ = Arc length

We can use the formula below to calculate arc length;

° $\frac{Central Angle}{360} = \frac{Arc length}{2\pi r}$

$\frac{120}{360} = \frac{Arc length}{2\pi\times 15}$

Arc length = $10\pi$

Arc length = 31.4 foot

Arc length (rounded to the nearest foot) = 31 foot

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