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

Question

asked Mar 11, 2023 164k views

1 Answer

Kevorski · Answer 1 · 2023-03-14T23:37:10+0000

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:

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