Question

Find the length of the arc.

Answer 1

• radius=r=7in
• Angle=135°

We know

• Length if arc=L

`\boxed{\sf L=(\theta)/(360)* 2πr}`

`\\ \sf\longmapsto L=(135)/(360)*2π(7)`

`\\ \sf\longmapsto L=(27)/(72)* 14π`

`\\ \sf\longmapsto L=(27)/(36)* 14π`

`\\ \sf\longmapsto L=(9)/(12)* 7π`

`\\ \sf\longmapsto L=(63π)/(12)`

`\\ \sf\longmapsto L=(21π)/(4)in`