leporidaetrails leporidaetrails

14-11-2017
Mathematics

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Find the length s of the arc of a circle radius 40 miles subtended by the central angle 1/8 radian

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jdoe0001 jdoe0001

14-11-2017

[tex]\bf \textit{arc's length}\\\\ s=r\theta \quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ ------\\ r=40\\ \theta =\frac{1}{8} \end{cases}\implies s=40\cdot \cfrac{1}{8}\implies s=5[/tex]

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