rtigner04 rtigner04
  • 03-03-2020
  • Mathematics
contestada

how long is the arc subtended by an angle of 32 on a circle of radius 27 cm

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jdoe0001 jdoe0001
  • 03-03-2020

[tex]\bf \textit{arc's length}\\\\ s = \cfrac{\pi r\theta }{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=27\\ \theta =32 \end{cases}\implies s = \cfrac{\pi (27)(32)}{180} \\\\\\ s = \cfrac{24\pi }{5}\implies s\approx 15.08[/tex]

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