Question

Use the arc length formula and the given information to find r. Show your work for full credit. s = 8.1 ft θ = (3.14/3)rad r = ?

Answer 1

This question is simple I'm a little confused on the specifics so I will try my best to help.

s=θ(r)
arc length = angle x radius
2.46888m(or 8.1 ft) = (π/3) x r
$r = (\pi /3)/2.46888$
$r = .425m$

Answer 2

Answer:

The length of the radius is 7.74 ft.

Step-by-step explanation:

It is given that the length of arc is s=8.1 and central angle of arc is $\theta=\frac{3.14}{3}$ in radian.

The formula for arc length is

$s=r\theta$

Where, s is length of arc, θ is central angle of arc in radian and r is the radius of the circle.

Substitute s=8.1 and $\theta=\frac{3.14}{3}$ in the above formula.

$8.1=r\times \frac{3.14}{3}$

$8.1=r\times 1.0467$

Divide both sides by 1.0467.

$\frac{8.1}{1.0467}=r$

$7.73860705073=r$

$r\approx 7.74$

Therefore the value of r is 7.74 ft.