Question

determine the value of the arc length in the diagram. 8 cm 315°

Explanation:

Step1: Recall the arc - length formula

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

Step2: Substitute the given values into the formula

Here, \(\theta = 315^{\circ}\) and \(r = 8\space cm\).

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Answer:

\(43.96\space cm\)