Question

find the arc length, s, if r = 2 and the measure of the angle, \\( \theta = 2.5 \\) 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 \(r = 2\) and \(\theta=2.5\) radians. Substitute into the formula: \(s=(2)\times(2.5)\).

Step3: Calculate the result

\(s = 5\).

Answer:

\(5\)