In a circle with radius 4, an angle intercepts an arc of length 8pi. Find the angle inradians in simplest form.

Answer: 2π
Explanation
Given the radius (r = 4 ) and the arc length (s = 8π), we can use the following formula to find the angle:
[tex]s=r\cdot\theta[/tex]where θ is the angle.
Thus, by replacing the values and simplifying we get:
[tex]8\pi=4\theta[/tex][tex]4\theta=8\pi[/tex][tex]\frac{4\theta}{4}=\frac{8\pi}{4}[/tex][tex]\theta=2\pi[/tex]