allynichols125 allynichols125
  • 08-08-2021
  • Mathematics
contestada

Find the length of the arc.

Find the length of the arc class=

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Аноним Аноним
  • 08-08-2021
  • radius=r=7in
  • Angle=135°

We know

  • Length if arc=L

[tex]\boxed{\sf L=\dfrac{\theta}{360}\times 2πr}[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{135}{360}\times2π(7)[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{27}{72}\times 14π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{27}{36}\times 14π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{9}{12}\times 7π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{63π}{12}[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{21π}{4}in[/tex]

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