TermaineG743740 TermaineG743740
  • 27-10-2022
  • Mathematics
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I have a trig question about the circle and subtended angles of arcs, pic included

I have a trig question about the circle and subtended angles of arcs pic included class=

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ShireenL617165 ShireenL617165
  • 27-10-2022

Solution

Given the radius of a circle to be 10 cm

Also, given its central angle to be 2π/5 radians

The length of arc s

[tex]\begin{gathered} s=r\theta \\ \\ \Rightarrow s=10\times\frac{2\pi}{5}=4\pi\text{ cm} \end{gathered}[/tex]

The approximate arc length is 12.57 cm (2 decimal places)

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