Question

The approximate length of the arc, rounded to the nearest tenth of a yard, is yd

Answer 1

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:

`\begin{gathered} l\text{ = }(\theta)/(360^0)\text{ }*\text{ 2}\pi r \\ \text{where }\theta\text{ is the angle subtended at the center} \end{gathered}`

When we substitute the given parameters, we have:

`\begin{gathered} l\text{ = }(135^0)/(360^0)\text{ }*\text{ 2 }*\text{ }\pi\text{ }*\text{ 4} \\ l\text{ = 9.4 yd (nearest tenth)} \end{gathered}`

Answer: 9.4 yd