Question

for the problem below, θ is a central angle in a circle of radius r. find the length of arc s cut off by θ.
θ = 3 radians; r = 4 inches
s = inches
enter your answer as an integer or decimal number. examples: 3, -4, 5.5172
enter dne for does not exist, ∞ for infinity

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

Given \(r = 4\) inches and \(\theta=3\) radians. Substitute these values into the formula: \(s=(4)(3)\).

Step3: Calculate the value of \(s\)

\(s = 12\).

Answer:

\(12\)