Respuesta :
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
[tex]r = (\pi /3)/2.46888[/tex]
[tex]r = .425m [/tex]
s=θ(r)
arc length = angle x radius
2.46888m(or 8.1 ft) = (π/3) x r
[tex]r = (\pi /3)/2.46888[/tex]
[tex]r = .425m [/tex]
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 [tex]\theta=\frac{3.14}{3}[/tex] in radian.
The formula for arc length is
[tex]s=r\theta[/tex]
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 [tex]\theta=\frac{3.14}{3}[/tex] in the above formula.
[tex]8.1=r\times \frac{3.14}{3}[/tex]
[tex]8.1=r\times 1.0467[/tex]
Divide both sides by 1.0467.
[tex]\frac{8.1}{1.0467}=r[/tex]
[tex]7.73860705073=r[/tex]
[tex]r\approx 7.74[/tex]
Therefore the value of r is 7.74 ft.
