Question

find the arc length, s, if r = 8 and the measure of the angle, \\( \theta = 5 \\) radians.

Explanation:

Step1: Recall the arc - length formula

The formula for arc length is \(s = r\theta\) (where \(r\) is the radius and \(\theta\) is the central angle in radians).

Step2: Substitute the given values

Given \(r = 8\) and \(\theta=5\) radians. Substitute into the formula: \(s=8\times5\).

Step3: Calculate the value

\(s = 40\).

Answer:

\(40\)