Question

John is walking around a circular track with a radius of 50 ft. If he walks the equivalent of 140 degrees, find the total distance he has walked around the track to the nearest Foot.​

Answer 1

Answer: 122 ft

Explanation:

s = r Ф (Ф must be in radians)

Given: r = 50

Ф = 140°

`(\pi)/(180^o)=(x)/(140^o)`

`(140^o\pi)/(180^o)=x`

`(7\pi)/(9)=x`

`s=50\bigg((7\pi)/(9)\bigg)\\\\\\.\quad =(350\pi)/(9)\\\\\\.\quad =122\ ft`