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 \(s\) of a circle is \(s=\frac{\theta}{360}\times2\pi r\), 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 \(r = 58\) cm.

Step3: Substitute the values into the formula

Substitute \(\theta = 90\), \(r = 58\), and \(\pi=3.14\) into the formula \(s=\frac{\theta}{360}\times2\pi r\).

$$
LATEXBLOCK0
$$

Step4: Calculate the value of \(s\)

\(s = 91.06\) cm

Answer:

\(91.06\) cm