Question

circle c has a radius of 1 inch. arc ab has length \frac{\pi}{3} inches. what is the measure of \angle acb? write an exact, simplified answer. do not round. radians

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 into the formula

We are given that \(s=\frac{\pi}{3}\) inches and \(r = 1\) inch. Substituting into \(s=r\theta\), we get \(\frac{\pi}{3}=1\times\theta\).

Answer:

\(\frac{\pi}{3}\)