Question

find the arc length, s, if r = 6 and the measure of the angle, \\( \theta = 3 \\) radians. s = \\( \square {?} \\)

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 \(r = 6\) and \(\theta=3\) radians. Substitute into the formula: \(s=6\times3\).

Step3: Calculate the value

\(s = 18\).

Answer:

\(18\)