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3 years ago

Find the length of the arc.

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

6 0

radius=r=7in
Angle=135°

We know

Length if arc=L

$\boxed{\sf L=\dfrac{\theta}{360}\times 2πr}$

$\\ \sf\longmapsto L=\dfrac{135}{360}\times2π(7)$

$\\ \sf\longmapsto L=\dfrac{27}{72}\times 14π$

$\\ \sf\longmapsto L=\dfrac{27}{36}\times 14π$

$\\ \sf\longmapsto L=\dfrac{9}{12}\times 7π$

$\\ \sf\longmapsto L=\dfrac{63π}{12}$

$\\ \sf\longmapsto L=\dfrac{21π}{4}in$

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If I haven't made any mistakes this should be correct!

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