Question

what is the approximate length of arc s on the circle below? use 3.14 for π. round your answer to the nearest tenth. 5.6 in. 6.3 in. 14.3 in. 25.1 in.

Explanation:

Step1: Recall the arc - length formula

The formula for the length of an arc \(s\) 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

Here, \(\theta = 45^{\circ}\) and \(r = 8\) in. Substitute these into the formula:

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Step3: Round the result

Rounding \(6.28\) to the nearest tenth gives \(6.3\).

Answer:

\(6.3\) in.