johnsavia50 johnsavia50
  • 08-08-2018
  • Mathematics
contestada

What is the arc length of theta equals 2pi/7 and the radius is 3 cm

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jdoe0001 jdoe0001
  • 08-08-2018

[tex] \bf \textit{arc's length}\\\\
s=r\theta ~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
r=3\\
\theta =\frac{2\pi }{7}
\end{cases}\implies s=3\cdot \cfrac{2\pi }{7}\implies s=\cfrac{6\pi }{7} [/tex]

and you can use whatever value for π, some use 3.14, and round it as needed.

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