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

In a circle with radius 4, an angle intercepts an arc of length 8pi. Find the angle-example-1

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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

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