daeshamar1 daeshamar1

11-12-2017
Mathematics

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How long is the arc subtended by an angle of 7π/5 radians on a circle of radius 25 cm?

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jdoe0001 jdoe0001

11-12-2017

[tex]\bf \textit{arc's length}\\\\ s=r\theta \quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ ------\\ r=25\\ \theta =\frac{7\pi }{5} \end{cases}\implies s=25\cdot \frac{7\pi }{5}\implies s=35\pi [/tex]

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