Question

Find the length of the arc.

Answer 1

• radius=r=7in
• Angle=135°

We know

• Length if arc=L

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

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

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

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

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

$\\ \sf\longmapsto L=\dfrac{63π}{12}$

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