Question

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

Answer 1

Answer: 2π

Step-by-step explanation

Given the radius (r = 4 ) and the arc length (s = 8π), we can use the following formula to find the angle:

`s=r\cdot\theta`

where θ is the angle.

Thus, by replacing the values and simplifying we get:

`8\pi=4\theta`
`4\theta=8\pi`
`(4\theta)/(4)=(8\pi)/(4)`
`\theta=2\pi`