Chapter 11.6, Problem 5WE

To determine

To Find: The arc length and area of each sector.

Answer to Problem 5WE

Arc length: $1.5\pi$

Area: $1.125\pi sq.units$

Explanation of Solution

Given: $\angle AOB=180,r=1.5$

Given: $\angle AOB=180,r=1.5$

  

Arc length

  $\begin{array}{l}=\frac{x}{360}(2\pi r)\\ =\frac{180}{360}(2\pi (1.5))\\ =1.5\pi \end{array}$

Area of the shaded sector.

  $\begin{array}{l}=\frac{x}{360}(\pi r^2)\\ $ =\frac{180}{360}(\pi {(1.5)}^2)$=\frac{1}{2}(2.25\pi )\\ =1.125\pi sq.units\end{array}$