Question

find the measure of θ, in radians,
if r = 8 and the arc length is 21.
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 need to isolate \(\theta\). From \(s = r\theta\), we can get \(\theta=\frac{s}{r}\).
Given \(s = 21\) and \(r = 8\), substitute these values into the formula: \(\theta=\frac{21}{8}\)

Answer:

\(\frac{21}{8}\)