Question

find the measure of θ, in radians, if r = 15 and the arc length is 23. θ = ? / radians

Explanation:

Step1: Recall the arc - length formula

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

Step2: Solve for \(\theta\)

We can rewrite the formula \(s = r\theta\) as \(\theta=\frac{s}{r}\). Given \(s = 23\) and \(r = 15\), substitute these values into the formula: \(\theta=\frac{23}{15}\)

Answer:

\(\frac{23}{15}\)