Question

consider circle y with radius 3 m and central angle xyz measuring 70°. what is the approximate length of minor arc xz? round to the nearest tenth of a meter. 1.8 meters 3.7 meters 15.2 meters 18.8 meters

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: Substitute the given values into the formula

Given that \(r = 3\space m\) and \(\theta=70^{\circ}\).

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Step3: Calculate the numerical value

Using \(\pi\approx3.14\), we have \(s=\frac{7\times3.14}{6}=\frac{21.98}{6}\approx3.7\)

Answer:

3.7 meters