Mathematics: 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.

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John is walking around a circular track with a

djfluffyman999

01.02.2022

122 ft

Step-by-step explanation:

s = r Ф (Ф must be in radians)

Given: r = 50

Ф = 140°

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

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

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

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

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