Respuesta :
I hope this helps you
Arc length = central angle/360.2pi.r
7/3pi=?/360.2pi.6
?=7.10
?=70
Arc length = central angle/360.2pi.r
7/3pi=?/360.2pi.6
?=7.10
?=70
Answer:
70 degree
Step-by-step explanation:
Length of the arc formula = circumference of the circle * central angle / 360
circumference of the circle formula = [tex]2\pi r[/tex]
where r is the radius of the circle, given radius = 6
[tex]\frac{7\pi}{3}=2 \pi * 6* \frac{angle}{360}[/tex]
[tex]\frac{7\pi}{3}=12\pi* \frac{angle}{360}[/tex]
divide by 12 pi on both sides
[tex]\frac{7}{36}=\frac{angle}{360}[/tex]
Now we multiply both sides by 360
So angle = 70 degrees
