Question

what is the measure in radians for the central angle of a circle whose radius is 9 cm and intercepted arc length is 7.2 cm?
enter your answer as a decimal in the box.
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 central angle in radians. We need to solve for \(\theta\), so \(\theta=\frac{s}{r}\).

Step2: Substitute the given values

Given \(s = 7.2\) cm and \(r = 9\) cm. Substitute into the formula: \(\theta=\frac{7.2}{9}\).

Step3: Calculate the value

\(\frac{7.2}{9}=0.8\)

Answer:

\(0.8\)