Answer:
[tex]\theta=1.72[/tex] radians
Step-by-step explanation:
Arc length and radius is given. So, we need to know the arc length formula for a circle.
That is:
[tex]s=r\theta[/tex]
Where s is the arc length
r is the radius
[tex]\theta[/tex] is the angle (IN RADIANS)
We have:
s = 15.5
r = 9
Now, we substitute and find the angle:
[tex]s=r\theta\\15.5=9\theta\\\theta=\frac{15.5}{9}\\\theta=1.72[/tex]
The angle, in radians, in 1.72
