Given:
The angle subtended at the center = 135 degrees
Radius (r) = 4 yd
Solution
The formula for the length (l) of an arc is given:
[tex]\begin{gathered} l\text{ = }\frac{\theta}{360^0}\text{ }\times\text{ 2}\pi r \\ \text{where }\theta\text{ is the angle subtended at the center} \end{gathered}[/tex]
When we substitute the given parameters, we have:
[tex]\begin{gathered} l\text{ = }\frac{135^0}{360^0}\text{ }\times\text{ 2 }\times\text{ }\pi\text{ }\times\text{ 4} \\ l\text{ = 9.4 yd (nearest tenth)} \end{gathered}[/tex]
Answer: 9.4 yd
