Question

the radius of a circle is 1. what is the measure, in radians, of the angle subtended by an arc π long? give the exact answer in simplest form. radians

Explanation:

Step1: Recall the formula for arc length

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

Step2: Substitute the given values into the formula

Given \(s=\pi\) and \(r = 1\). Substituting into \(s=r\theta\), we get \(\pi=1\times\theta\).

Answer:

\(\pi\)