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Verified Answer :

Given:
r = 20 ft
Θ = 19°
s = ?

s = rΘ ; where angle Θ should be measured in radians

1 degree = 0.0174533 radian
19° x 0.0174533 radians/1° = 0.3316127

s = 20ft * 0.3316127
s = 6.632254 or 6.63 ft

The arc length is 6.63 ft.

Answer:

The arc length is \(6.63\ ft\)

Step-by-step explanation:

we know that

The formula to calculate the arc length is equal to

\(s=r\theta\)

where

r is the radius

\(\theta\) is the angle measured in radians

In this problem we have

\(r = 20\ ft\)

\(\theta=19\°\)

Convert degrees to radians

by proportion

\(\frac{\pi}{180}\frac{radians}{degrees} =\frac{x}{19}\frac{radians}{degrees}\\ \\x=19\pi /180\)

Substitute in the formula

\(s=20(19\pi /180)=6.63\ ft\)