Question

find the length of arc abc. use 3.14 for the value of π. round to the nearest hundredth of a cm.

Explanation:

Step1: Recall the arc - length formula

The formula for the length of an arc \(s=\frac{\theta}{360}\times2\pi r\), where \(\theta\) is the central angle in degrees and \(r\) is the radius of the circle.

Step2: Identify the values of \(\theta\) and \(r\)

From the problem, \(\theta = 90^{\circ}\) and \(r = 32\space cm\).

Step3: Substitute the values into the formula

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Step4: Calculate the result

\(s=1.57\times32 = 50.24\space cm\)

Answer:

\(50.24\space cm\)