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

Step-by-step explanation:

s = r Ф   (Ф must be in radians)

Given: r = 50

          Ф = 140°

                 $\dfrac{\pi}{180^o}=\dfrac{x}{140^o}$  

                 $\dfrac{140^o\pi}{180^o}=x$

                     $\dfrac{7\pi}{9}=x$

$s=50\bigg(\dfrac{7\pi}{9}\bigg)\\\\\\.\quad =\dfrac{350\pi}{9}\\\\\\.\quad =122\ ft$