Question

the radius of a circle is 2. what is the length of an arc that subtends an angle of π radians? give the exact answer in simplest form.

Explanation:

Step1: Recall the arc - length formula

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

Step2: Substitute the given values

Given \(r = 2\) and \(\theta=\pi\). Substitute into the formula: \(s=2\times\pi\).

Answer:

\(2\pi\)