Chapter 9.1, Problem 13WE

To determine

Draw a circle with centre O and radius 12.Then draw radii $\overline{OA}$ and $\overline{OB}$ to form an angle with $m\angle AOB=180$ . Find the length of $\overline{AB}$ .

Answer to Problem 13WE

  $m\overline{AB}=24$

Explanation of Solution

Given:

  

Calculation:

Since $m\angle AOB=180$ , so the two rays of the angle $\overline{OA}$ and $\overline{OB}$ are linear .Hence $\overline{AB}$ becomes the diameter of the circle.

So, $m\overline{AB}=2(12)=24$