Question

18 numeric 1 point
what is the length of the arc? round to the nearest whole number.
14 cm 45°
answer

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

Given \(r = 14\) cm and \(\theta=45^{\circ}\).

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Step3: Calculate the numerical value

Using \(\pi\approx3.14\), we have \(s=\frac{7\times3.14}{2}= 10.99\)

Answer:

\(11\)